Answered

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 :

MrRoyal

Answer:

[tex]Area =100[/tex]

Step-by-step explanation:

Given

Triangle

[tex]Base = 10[/tex]

[tex]Height = 4[/tex]

Rectangle

[tex]Height = 8[/tex]

[tex]Width = 10[/tex]

Required

Determine the area of the sign

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

[tex]A_1 = \frac{1}{2} * Base * Height[/tex]

[tex]A_1 = \frac{1}{2} * 10 * 4[/tex]

[tex]A_1 = 20[/tex]

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

[tex]A_2 = Height * Width[/tex]

[tex]A_2 = 8 * 10[/tex]

[tex]A_2 = 80[/tex]

The area of the sign is then calculated as:

[tex]Area = A_1 + A_2[/tex]

[tex]Area =20 + 80[/tex]

[tex]Area =100[/tex]

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