1 Answer

Xtt · Answer 1 · 2021-02-01T06:13:02+0000

Answer:

A=42 ft²

Explanation:

The area of the trapezoid is given by the formula

$Area= (1)/(2) (sum \: of \: bases) * h$

The bases are 9ft, and (9+3=12) ft.

To find the height of the trapezoid, we use the Pythagoras Theorem,

${h}^(2) + {3}^(2) = {5}^(2)$

Evaluate the exponents:

${h}^(2) + 9 = 25$

${h}^(2) = 25 - 9$

${h}^(2) = 16$

Take square root:

h = √(16) = 4ft

The area of the trapezoid is:

= (1)/(2) (12 + 9) * 4

= 2 * 21

$= 42 {ft}^(2)$

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