Answer:
Find the rectangle's area on the left hand side, using the formula:
A = l x w
Where 'l' represents the length and 'w' stands for the width.
Plug in what you know:-
A = l x w
A = 15 x 5
A = 75 square units is the area of the left rectangle.
Now let's find the rectangle's area on the right hand side, using the formula:
A = l x w
Where 'l' represents the length and 'w' stands for the width.
A = l x w
A = 15 x 4
A = 60 square units is the area of the right rectangle.
Now find the middle small horizontal rectangle's area, using the formula:
A = l x w
Where 'l' represents the length and 'w' stands for the width.
But, let's figure out the length first.
We know that from the left rectangle, the two side lengths beside the unknown length of the middle rectangle area 5 and 7.
The unknown length plus those two lengths (5&7) will have to equal 15 since that is the total length, so;
15 - (5 + 7) = x
15 - 12 = x
3 = x, so the unknown length of the middle rectangle is 3.
Plug in what you know into the formula:
A = l x w
A = 3 x 7
A = 21 square units is the area of the middle rectangle.
Now add up all the areas together:
75 + 60 + 21
= <u>156 square units</u> is the area of the shape.
