The area of the rectangle formed by 4 squares is 36 sq inches.
What are the area and perimeter of a rectangle?
We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the perimeter of any plane figure is the sum of the lengths of all the sides.
Let each side of this square be 'a'.
∴ (a + a + a + a) + a + (a + a + a + a) + a = 30.
4a + a + 4a + a = 30.
2(4a + a) = 30.
2(5a) = 30.
10a = 30
a = 3.
So, the length of the rectangle is 4a and the width is a.
∴ The area of the rectangle is (4a×a) = 4a².
= 4(3)².
= 4(9).
= 36 sq inches.
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