Question

Mr. Chen is the painting one wall of a room in his attic. he needs to determine the area of the wall so he will know how much paint to buy. The drawing below shows the dimensions of the wall.what is the area of the wall in square feet? A: 56 square feetB: 72 square feetC: 96 square feetD: 112 square feet

Answer 1

C) 96 ft²

1) Since this wall, has one triangle and one rectangle then we can sketch out the following to better grasp it:

2) Now let's find out the area of that triangle:

$S=\frac{4\cdot8}{2}\Rightarrow S=\frac{32}{2}\Rightarrow S=16ft^2$

And then the area of the rectangle:

$A=w\cdot l\Rightarrow A=10\cdot8\Rightarrow A=80ft^2$

The area of the whole wall is the sum of these areas:

A = 16 +80

A =96 ft²

3) Hence, the answer is 96 ft²