Find The Area

Geometry Level 2

What is the area of the figure below?


The answer is 76.

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2 solutions

We have a composite figure, a triangle and a square.

Let A 1 A_1 be the area of the triangle and A 2 A_ 2 be the area of the square.

The area of the triangle is given by the formula A 1 = 1 2 b h A_1=\dfrac{1}{2}bh .

Substituting, we get

A 1 = 1 2 ( 3 ) ( 8 ) = 12 A_1=\dfrac{1}{2}(3)(8)=12

The area of the square is given by the formula A = s 2 A_ =s^2 .

Substituting, we get

A 2 = 8 2 = 64 A_2=8^2=64

Finally, the area of the composite figure is

A = A 1 + A 2 = 12 + 64 = A=A_1+A_2=12+64= 76 c m 2 \large\color{#D61F06}\boxed{76~cm^2} answer \boxed{\text{answer}}

Jacob Foxy
May 3, 2017

A square has all equal sides, so we can do 8x8=64. Since it has all equal sides, the triangle would be 24, but we have to divide by 2. Next, we add. 64+12=76.

You can also do A=(base[1]+base[2])height. 8+3=11, and 11+8=19. 19x8=152. 152/2=76. Congrats to all solvers!

Jacob Foxy - 4 years, 1 month ago

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