Question

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?

Answer 1

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!!