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Known amount of length and width of a rectangle is 15 cm. What is the maximum area of the rectangle? |
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Answer» <P>// p = rectangle length l = rectangle width L = rectangular area // p + l = 15cm p = 15cm - l L rectangle = pl = (15cm-l) (l) = 15cm l - l² // then the maximum area is when p and l are equal // p = l // finds l by SUBSTITUTING p // p + l = 15cm l + l = 15cm 2L = 15cm l = 15cm / 2 l = 7,5cm p = l = 7.5cm // FIND the maximum area of the rectangle by substituting l // L rectangle = 15cm l - l² = 15cm (7.5cm) - (7.5cm )² = 112.5cm² - 56.25cm² = 56.25cm² So the maximum area of the rectangle is 56.25cm² |
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