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Mitch is buying a new triangular protective pad for his computer desk and needs to order the right size. The base of the triangle is $42$ inches long, and its height is $20$ inches. $\newline$ Which equation can you use to find the area of the pad, $A$ ? $\newline$ Choices: $\newline$ (A) $A = \frac{1}{2}(42)(20)$ $\newline$ (B) $A = \frac{1}{2}(42 + 20)$ $\newline$ What is the area of the pad? $\newline$ Write your answer as a whole number or decimal. Do not round. $\newline$ ____ square inches $\newline$

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Area of quadrilaterals and triangles: word problems

Full solution

Q. Mitch is buying a new triangular protective pad for his computer desk and needs to order the right size. The base of the triangle is

42

inches long, and its height is

20

inches.

\newline

Which equation can you use to find the area of the pad,

A

?

\newline

Choices:

\newline

(A)

A = \frac{1}{2}(42)(20)

\newline

(B)

A = \frac{1}{2}(42 + 20)

\newline

What is the area of the pad?

\newline

Write your answer as a whole number or decimal. Do not round.

\newline

____ square inches

\newline

Identify base and height: To find the area of a triangle, we use the formula $A = \frac{1}{2}(\text{base})(\text{height})$ . Here, the base is $42$ inches and the height is $20$ inches.
Plug in values: Plugging in the values into the formula: $A = \frac{1}{2}(42)(20)$ .
Calculate area: Calculating the area: $A = \frac{1}{2} \times 42 \times 20 = 420$ square inches.

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