Question

If Y= 15 inches, Z= 18 inches, H = 5 inches, and W= 4 inches, what is the area of the object? A. 105 square inches B. 216 square inches C. 162 square inches D. 117 square inches

Answer 1

Area of a compound shape

We are given a compound shape that can be divided into a triangle of base Z and height H, and a rectangle of length Z and width W.

The total area of the object is:

A = At + Ar

Where At is the area of the triangle, and Ar is the area of the rectangle.

The area of the triangle is calculated as:

`A_t=(Z\cdot H)/(2)=(18\cdot5)/(2)=45`

The area of the rectangle is

`A_r=W\cdot Z=4\cdot18=72`

The total area is:

A = 45 + 72 =117 square inches

The area of the object is 117 square inches

ound shape