The sides of a rectangle are in the ratio 5 : 7, and its perimeter is 96 cm. What is the area of the rectangle in square centimeters?
Question
The sides of a rectangle are in the ratio 5 : 7, and its perimeter is 96 cm. What is the area of the rectangle in square centimeters?
Solution
Sure, let's solve this step by step:
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The ratio of the sides of the rectangle is 5:7. This means that if we divide the perimeter by 12 (5+7), we will get the length of one part.
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The perimeter of the rectangle is 96 cm. So, one part of the rectangle is 96 cm / 12 = 8 cm.
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Therefore, the sides of the rectangle are 5 parts * 8 cm/part = 40 cm and 7 parts * 8 cm/part = 56 cm.
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The area of a rectangle is given by the formula length * width. So, the area of the rectangle is 40 cm * 56 cm = 2240 square cm.
So, the area of the rectangle is 2240 square cm.
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