20 July, 23:59
The area of the of a rectangle is 336 square inches. If the perimeter is 76. What is the shorter sides length?
21 July, 01:26
the perimeter is : p = 2 (w + l)
The area is : A = w * l w : width l : length w?
2 (w + l) = 76
w * l = 336
you have the system:
w + l = 38 ... (1)
w * l = 336 ... (2)
by (1) : l = 38 - w
subst in (2) : w (38 - w) = 336
38w - w² = 336
w² - 38w + 336 = 0
delta = b² - 4ac when : a = 1 and b = - 38 c = 336
delta = (-38) ² - 4 (1) (336) = 1444 - 1344 = 100 = 10²
w1 = (38-10) / 2 = 14 (the shorter sides length)
w2 = (38+10) / 2 = 24 (refused)
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» The area of the of a rectangle is 336 square inches. If the perimeter is 76. What is the shorter sides length?