3 years ago

Find the total area of the given figure.

Mathematics

1 answer:

Lorico [155]3 years ago

5 0

Answer:

996 sq. in

Step-by-step explanation:

See the attached diagram.

The right triangle has hypotenuse 37 in, and other two sides are 35 in and the half of the side lengths of square, say a in.

So, applying the Pythagoras Theorem we get,

37² = 35² + a²

⇒ a² = 144

⇒ a = 12 in.

Therefore, the side length of the square is 2 × 12 = 24 in.

Now, the area of the total figure is the sum of area of the square and the area of the isosceles triangle.

Area = (24 × 24 ) + 0.5 × 35 × 24 = 996 sq. in. (Answer)

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