# 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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