Question

Mr. Chen is painting one wall of a room in his attic. He needs to detemine the area of the wall so he will know how much paint he will buy. The drawing below shows the dimensions of the wall.

Part A: Given the drawing, what is the area of the wall?



The area of the wall is

square feet.


Part B: If one quart of paint will cover 22 square feet, how many whole quarts will Mr. Chen need to buy?



He will need to buy
whole quarts.

Answer 1

Area of the figure

= (area of rectangle) + (area of triangle)

= (8 × 10) + (½ × 4 × 8)

= 80 + 16

= 96

Area = 96ft²

Quarts of paint needed

= 96/22

= 48/11

= 4.36

Mr. Chen will have to buy 5 quarts of paint.

Answer 2

Part A: The area of the wall, calculated by adding the rectangle and triangle areas, is 96 square feet. Part B: Mr. Chen needs to buy 5 whole quarts of paint, with each quart covering 22 square feet.

Part A: The area of the wall is calculated by adding the area of the rectangle (length = 8 ft, breadth = 10 ft) and the area of the triangle (height = 8 ft, base = 4 ft).

Area} = Area of rectangle + Area of triangle

Area} = (8
`*` 10) +
`\left((1)/(2) * 8 * 4\right)`

Area} = 80 + 16

Area = 96 square feet

Part B: If one quart of paint covers 22 square feet, Mr. Chen will need to buy
`\((96)/(22)\)` quarts. Rounding up, he will need to buy 5 whole quarts.