What is the area of this composite shape?

Hey there!!

Let us break this shape into two shapes ( a rectangle and a triangle )

Let us break this shape at the end were the line is measured 7in.

The, it would be a rectangle with sides 7 and 6 in

7 = width

6 = length

Area of this rectangle would be length * breadth

= 7 × 6

42 in² is the area of the rectangle

now, moving onto the triangle

We can see a 90° angle after we divide the shape, which means the triangle will be a right triangle and now we use the formula

( 1 / 2 ) × base × height

The longest side is 13 in. , when we broke the figure , the portion on the above would be 7in and the portion below would be 6in.

Now, we found the height, which is 6 in.

The length of the triangle is 6 in. which means, the base of the triangle is 6in.

= ( 1 / 2  ) ( 6 ) ( 6 )

= ( 3 ) ( 6 )

= 18 in²

The total area would be 18 + 42

= 50 in² is the answer

Hope my answer helps!

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