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Find the area of each figure. Round to the nearest hundredth where necessary.

Find the area of each figure. Round to the nearest hundredth where necessary.-example-1

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Answer:

The answer to your question is Triangle's area = 520 in², Square's area = 576 in²

Explanation:

Process

1.- Calculate the area of the triangle

-Find the length of the base using the Pythagorean theorem

c² = a² + b²

-Solve for b²

b² = c² - a²

-Substitution

b² = 37² - 35²

-Simplification

b² = 1369 - 1225

b² = 144

b = 12 in

-Find the base

base = 2(12) = 24 in

-Find the area of the triangle

Area = base x height / 2

-Substitution

Area = 24 x 35 / 2

-Simplification

Area = 420 in²

2.- Find the area of the square

Area = side x side

-Substitution

Area = 24 x 24

-Result

Area = 576 in²

User WunderBart
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