The rectangle consists of 2 squares and its perimeter is 48 cm. Find the area of the rectangle.
| March 29, 2021 | education
To find the area of a rectangle, you need to know its length a and width b (S = ab). Since the rectangle is made up of two squares, then its width is 2 times less than its length: a = 2b. Substituting these data into the formula for finding the perimeter P = 2 (a + b), we get the equation:
2 (a + 2a) = 48
a + 2a = 48/2
3a = 24
a = 24/3
a = 8 (cm) – the width of the rectangle.
2 * 8 = 16 (cm) – the length of the rectangle.
S = 8 * 16 = 128 (cm2) – the area of the rectangle.
Answer: 128 cm2.
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