Nebuliteidn
Answered

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What is the area of this shape?

What Is The Area Of This Shape class=

Sagot :

Heatheridn

Answer: 20x² + 20x

Step-by-step explanation:

     We will find the area of the given figure by breaking it up into three shapes. We have a rectangle and two congruent right triangles. Then, we'll add them together.

Area of a rectangle:

     A = LW

Substitute given values:

     A = (8x + 8) * (2x)

Multiply by distribution:

     A = 16x² + 16x

Area of a triangle:

     A = (bh)/2

Multiply by 2 for two congruent triangles:

➜ This becomes the same formula as a rectangle!

     A = 2 * ((bh)/2)

     A = bh

Substitute given values:

     A = ((8x + 8)/2) * (x)

Divide:

     A = (4x + 4) * (x)

Multiply by distribution:

     A = 4x² + 4x

Addition:

     A = Rectangle + Triangles

     A = 16x² + 16x + 4x² + 4x

     A = 20x² + 20x

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