Question

If the perimeter of a rectangle is 48 cm and the area is 135 square cm, then what are the dimensions of the rectangle?

The width, or shorter side is____ cm

The length, or longer side is ___ cm

Answer 1

Solution: Given that perz'meter of a taqogle (b) = 48 cm. Solution: Let the rectangle ý b. where a> b. length of the is 'a' and width of the rectangle is Gevem, 48 cm. perimeter (b) 2(a+b) = 48 → a+b = 24 1 and , Area (A) 135 cm → axb = 135 ☺ Now, (a-b) = $ (a+b)2-4ab ll + (24)_ 4x135 a>b → 2-b>0 576 - 540 - 5 36 → (a - b) = 6 3 Adding 1) with ③ we have a ga - 24 + 6 = 30 a = 15 Therefore, by Em 6, b = 24 - 15 b = 9 9 Hence, the width or shorter side is p The length, cm. ༢ Ando longer side is [15 cm (

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