Question

1. The top surface of a model building is composed of 2 rectangles and a triangle. Some side lengths of the top surface of the counter are shown. What is the area of the top surface of the model building.

Answer 1

8.625 feets²

Explanation:

Based on measurement illustrated in the attached picture :

There are two rectangles and one triangle :

Area of first rectangle :

Area = Length * width

Length = 1.5 ft ; width = 2.5 ft

Area = 1.5 * 2.5

Area = 3.75 ft²

Area of triangle = 1/2 * base * height

Base = 1.5 ; height = 1.5

Area = 1/2 * 1.5 * 1.5

Area = 1.125 ft²

Area of second rectangle :

Area = Length * width

Length = 1.5 ft ; width = 2.5 ft

Area = 1.5 * 2.5

Area = 3.75 ft²

Total area :

(3.75 + 3.75 + 1.125) feets

= 8.625 feets²