The width of the rectangle is 7cm, and the length is 2cm more. Find the perimeter and area of the rectangle.
February 6, 2021 | education
| The width of the rectangle is 7cm, and the length is 2cm more. Find the perimeter and area of the rectangle. Find the area of a square that has the same perimeter.
Find the perimeter and area of a rectangle whose opposite sides are equal, provided that its width is 7 cm and its length is 2 cm longer (7 + 2 = 9 cm).
P = 2a + 2b = 2 * 9 + 2 * 7 = 18 + 14 = 32 cm.
S = a * b = 9 * 7 = 63 cm².
Let’s calculate the area of a square whose perimeter is 32 cm.
Since the measurements of such a figure are equal: P = 4a.
Let us express the side, for this we divide the product by the first factor:
a = P: 4 = 32: 4 = 8 cm.
S = a² = 8 * 8 = 64 cm².
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