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!
