Question

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

Answer 1

Answer:

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

Step-by-step 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