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A rectangle of area 144 cm square has its length equal to x cm to write down its breath in terms of x given that perimeter is 50 to write down the equation in text to solve to determine the dimension of the rectangle how to determine this? |
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Answer» Answer: Length = 43.37cm Width =3.32cm Step-by-step explanation: A = LB L = x A =LB A = 144cm² Bx = 144 ⇒⇒eq. i Also, = 2x + 2B 50cm = 2x + 2B ⇒⇒eq.ii Solving eq.i and eq.ii, 144 = Bx 50 = 2B + 2x From (i., x= 144÷B Substituting into (ii. 50 = 2B +2(144÷B) Multiply THRU by B 50B = 2B² +144 2B² - 50B +144 =0 SOLVE the quadratic B = 3.32 or 21.68 x = 144÷3.32 or 144÷21.68 x = 43.37 or 6.64 ∴∴ The length x = 43.37cm and the width is 3.32cm Since x=43.37 and B=3.32 solve the question best. Thank you!! |
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