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:
Length = 43.37cm
Width =3.32cm
Step-by-step explanation:
A = LB
L = x
A =LB
A = 144cm²
Bx = 144 ⇒⇒eq. i
Also,
Perimeter = 2L + 2B
= 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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