Question

A road sign consists of a triangle, with a base of 10 feet, sitting directly atop a rectangle, which has a width of 10 feet. The

triangle's height is 4 feet, and the rectangle's height is 8 feet. What is the total area of the sign, in square feet?
Select the correct answer below:
32
a
60
80
100
120

Answer 1

`Area =100`

Explanation:

Given

Triangle

`Base = 10`

`Height = 4`

Rectangle

`Height = 8`

`Width = 10`

Required

Determine the area of the sign

First, we calculate the area of the triangle (A1)

`A_1 = (1)/(2) * Base * Height`

`A_1 = (1)/(2) * 10 * 4`

`A_1 = 20`

Next, we calculate the area of the rectangle (A2)

`A_2 = Height * Width`

`A_2 = 8 * 10`

`A_2 = 80`

The area of the sign is then calculated as:

`Area = A_1 + A_2`

`Area =20 + 80`

`Area =100`