Question

What is the area of this figure?

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___cm²

A square with side lengths of 5 cm. A triangle attached to one side is split down the middle to reveal a long leg length of 4 cm.

Answer 1

The area of the figure is equal to
`35\ cm^(2)`

Explanation:

see the attached figure to better understand the problem

we know that

The area of the figure is equal to the area of a square plus the area of a triangle

Find the area of the square

The area of square is equal to

`A=b^(2) =5^(2)=25\ cm^(2)`

Find the area of the triangle

The area of the triangle is equal to

`A=(1/2)bh=(1/2)(5)(4)=10\ cm^(2)`

therefore

The area of the figure is equal to

`25\ cm^(2)+10\ cm^(2)=35\ cm^(2)`