Question

The diagram shows the dimensions of the front of a storage building. What is the area of the entire front of the building?

Answer 1

Answer: 110.20m

Explanation:

The formula for an area of a rectangle is A = L x W

The dimensions given are 11.6m x 6.6m = 76.56m

The formula for an area of a triangle is 1/2(Base x Height)

The dimensions given are 12.4m and 11.6m for the whole structure. However, we must scale these down to our triangle.

The base measurement is given and is 11.6.

To find the height we have to subtract the rectangle dimension of 6.6 meters from 12.4m. This equals 5.8m.

Now we plug it into our formula for a triangle.

1/2 x (11.6 x 5.8) = 33.64m

Now we add the rectangle and triangle areas together.

76.56m + 33.64m = 110.20m

Answer 2

110.2 m²

Explanation:

The shapes that the building has consists of a triangle and a rectangle.

The formula for the area of a rectangle is A = bh, and the formula for a triangle is A = 1/2bh.

Rectangle:

b : 11.6

h : 6.6

A = bh

A = (11.6)(6.6)

A = 76.56

Triangle:

b : 11.6

h : D

To find D, we have the height of the entire building, and we can subtract the height of the rectangle to find the height of the triangle.

D = 12.4 - 6.6 = 5.8

The height for our triangle is 5.8, now we can calculate.

A = 1/2bh

A = 1/2(11.6)(5.8)

A = 1/2(67.28)

A = 33.64

Add up the areas for both shapes

33.64 + 76.56 = 110.2

The area of the entire front of the building is 110.2 m²