Tyler has to figure out the amount of metal to cover the back of the shelves in Mrs. Edwards room. These are the dimensions. Wha

Question

3 years ago

12

t is the amount of metal he will need to cover the back of the shelves?
210 square inches

108 square inches

180 square inches

36 square inches

1 answer:

horsena [70] · Answer 1 · 2022-11-24T12:46:24+03:00

The amount of metal he will need to cover the back of the shelves is 180 inches².

The figure above is like a composite figure. Therefore, lets find the area.

<h3>Area of the composite figure</h3>

The area of the figure is the sum of the whole individual 2 dimensional shapes in the composite figure.

Therefore, two rectangles can be drawn from it.

area of rectangle = lw

where

l = length

w = width

Therefore,

area of rectangle 1 = 9 × 8 = 72 inches²

area of rectangle 2 = 6 × 18 = 108 inches²

Total area = 108 + 72 = 180 inches²

Therefore, the amount of metal he will need to cover the back of the shelves is 180 inches².