The length of a room is 3m loner than its width. A carpet whose area is 18m² is laid in the middle of the room...

      

The length of a room is 3m loner than its width. A carpet whose area is 18m² is laid in the middle of the room leaving a margin of 0.5m wide between the carpet and the wall all round the room.
a) If the width of the room is x, write an expression for the dimensions of the carpet in terms of x.
b) Express the area of the carpet in terms of x
c) Determine the dimensions of the room.
d) Determine the space between the carpet and the wall is covered by a material which costs sh 245 per square metre. Find the cost of the material required.

  

Answers

---

---

sharon kalunda answered the question on August 14, 2019 at 13:28

Next: In an experiment, iron was heated in the presence of excess oxygen and the following data was obtained.
Previous: Rewrite the following sentences according to the instructions given.

View More Mathematics Questions and Answers | Return to Questions Index

Learn High School English on YouTube

Related Questions

---

• The table below shows the length of 40 carrot seedlings. a) Determine the; i) Modal class. ii) Median class. b) calculate; i) The mean length of the seedlings. ii)...(Solved)
  

  The table below shows the length of 40 carrot seedlings.
  
  a) Determine the;
  i) Modal class.
  ii) Median class.
  b) calculate;
  i) The mean length of the seedlings.
  ii) The median of the seedlings.

  Date posted: August 14, 2019.  Answers (1)

• If a and b are as given below,find the scalars m and n if the condition below is true. (Solved)
  

  If a and b are as given below,find the scalars m and n if the condition below is true.
  
  If

  Date posted: August 14, 2019.  Answers (1)

• Find the equation of a perpendicular bisector to line AB given that A (2, 3) and B (-6, 5). Give your answer in the form...(Solved)
  

  Find the equation of a perpendicular bisector to line AB given that A (2, 3) and B (-6, 5). Give your answer in the form y = mx + C.

  Date posted: August 14, 2019.  Answers (1)

• On a day when the currency exchange rate was 100 Japanese Yen = Ksh 72.50 a Japanese tourist exchanged all his money and received Ksh....(Solved)
  

  On a day when the currency exchange rate was 100 Japanese Yen = Ksh 72.50 a Japanese tourist exchanged all his money and received Ksh. 34,800. If the bank charged him a commission of 4% on the transaction, calculate the number of Japanese Yen he exchanged.

  Date posted: August 14, 2019.  Answers (1)

• In the diagram below, ABCD is a parallelogram AD is produced to E and BE and CD meet at F.If o and (Solved)
  

  In the diagram below, ABCD is a parallelogram AD is produced to E and BE and CD meet at F.
  
  If o and o, find the size of angle ABF.

  Date posted: August 14, 2019.  Answers (1)

• The interior angle of a regular polygon is 20^o more than three times the exterior angle. Determine the number of sides of the polygon.(Solved)
  

  The interior angle of a regular polygon is 20^o more than three times the exterior angle. Determine the number of sides of the polygon.

  Date posted: August 14, 2019.  Answers (1)

• Solve for x without using tables. Sin (2x – 30^o) – cos 4x = 0 for 0^o = x = 90^o.(Solved)
  

  Solve for x without using tables.
  Sin (2x – 30^o) – cos 4x = 0 for 0^o ≤ x ≤ 90^o.

  Date posted: August 14, 2019.  Answers (1)

• Jane spent two-thirds of her April salary on school fees for her children and two-fifth of the remainder on food. If she was left with...(Solved)
  

  Jane spent two-thirds of her April salary on school fees for her children and two-fifth of the remainder on food. If she was left with sh.6000, what was her net pay?

  Date posted: August 14, 2019.  Answers (1)

• The longest side of a right angled triangle is (9x – 2)cm. The other two sides are 8x cm and (2x + 1)cm long. Find...(Solved)
  

  The longest side of a right angled triangle is (9x – 2)cm. The other two sides are 8x cm and (2x + 1)cm long. Find x and hence the lengths of the triangle.

  Date posted: August 14, 2019.  Answers (1)

• Train A and B moving in the same direction are 10m apart. Train A is 3m long and moves at 100km/hr while train B is...(Solved)
  

  Train A and B moving in the same direction are 10m apart. Train A is 3m long and moves at 100km/hr while train B is 10m long and moves at 50km/hr. Find how long it will take a train A to overtake train B.

  Date posted: August 14, 2019.  Answers (1)

• A cone of slant height 8cm is formed from a circle sector of angle 108^o as shown below. Find the volume of the cone.(Solved)
  

  A cone of slant height 8cm is formed from a circle sector of angle 108^o as shown below. Find the volume of the cone.
  

  Date posted: August 14, 2019.  Answers (1)

• Solve for x in the following expression.(Solved)
  

  Solve for x in the following expression.
  

  Date posted: August 14, 2019.  Answers (1)

• Two similar containers have base area of 750cm² and 120cm² respectively. Calculate the volume of the larger container in litres given that the volume of...(Solved)
  

  Two similar containers have base area of 750cm² and 120cm² respectively. Calculate the volume of the larger container in litres given that the volume of the smaller one is 400cm³.

  Date posted: August 14, 2019.  Answers (1)

• Two translations T1 and T2 are represented by the vectors and respectively.Triangle ABC whose vertices are A (2, 3), B (4, 6) and C (3,...(Solved)
  

  Two translations T1 and T2 are represented by the vectors respectively.Triangle ABC whose vertices are A (2, 3), B (4, 6) and C (3, 5) is mapped onto triangle A1B1C1 under the combined translation T2T1. Determine the co-ordinates of A1B1 and C1.

  Date posted: August 14, 2019.  Answers (1)

• Solve for x in 3^{x – 3} x 15^x = 15^x(Solved)
  

  Solve for x in 3^{x – 3} x 15^x = 15^x

  Date posted: August 14, 2019.  Answers (1)

• Evaluate the expression below.(Solved)
  

  Evaluate the expression below.
  

  Date posted: August 14, 2019.  Answers (1)

• The figure below represent a rectangle PQRS inscribed in a circle centre O and radius 17cm. PQ =16cm. Calculate (a) The length PS of the rectangle (b)...(Solved)
  

  The figure below represent a rectangle PQRS inscribed in a circle centre O and radius 17cm. PQ =16cm.
  
  Calculate
  (a) The length PS of the rectangle
  (b) The angle ROS
  (c) The area of the shaded region

  Date posted: August 14, 2019.  Answers (1)

• The table below shows the names of 200 persons measured to the nearest kg. (a) Calculate the mean mas. (b) Calculate the median mass(Solved)
  

  The table below shows the names of 200 persons measured to the nearest kg
  
  (a) Calculate the mean mas.
  (b) Calculate the median mass

  Date posted: August 14, 2019.  Answers (1)

• A newly built classroom measuring 6m long 4.5m wide and 3.2 m high is to be cemented on the floor and all inside walls. The...(Solved)
  

  A newly built classroom measuring 6m long, 4.5m wide and 3.2 m high is to be cemented on the floor and all inside walls. The classroom has one door measuring 1.85m by 80cm by 80cm and four windows measuring 1.5m by 70cm each.Cementing materials cost 500 per square meter while labour costs 20% of the cost of cementing materials.Calculate:
  (a) To one decimal place, the total surface are to be cemented
  (b) The cost of cementing materials
  (c) The total cost of cementing the classroom

  Date posted: August 14, 2019.  Answers (1)

• A form IV maths teacher originally worked out the mean mark of her 30 students to be 41. After the correction of the test, she...(Solved)
  

  A form IV maths teacher originally worked out the mean mark of her 30 students to be 41. After the correction of the test, she added some marks of the test, she added some marks to Njoki,Chelimo and Nafula in the ratio 2:3:4,if the new mean mark for the class is 42.5 determine how many more marks Nafula was added than Chelimo.

  Date posted: August 14, 2019.  Answers (1)