Question

The perimeter of a rectangle is 54cm, the area of the same rectangle is 176cm squared, what is the dimensions of the rectangle?

Answer 1

Hey mate here is your answer

given perimeter is 54 cm

i.e. 2(l+b)=54

l+b = 27

=> l= 27-b............(1)

and given area is 176 cm

i.e. is l x b = 176

=> (27-b) x b = 176. from (1)

now we get quadratic equation in b

i.e. b^2 -27b +176=0

and we get b(breadth) values as 11 or 16

by sub these values in (1) we get length l values

HOPE THIS ANSWER

HELPS YOU

Answer 2

$\huge \mathfrak {ANSWER:}$

$\green{11} \\ \blue{15}$

$\underline \green{STEP-BY-STEP VERIFICATION:}$

GIVEN,

perimeter is 54 cm

i.e. 2(l+b)=54

l+b = 27

=> l= 27-b............(1)

and given area is 176 cm

i.e. is l x b = 176

=> (27-b) x b = 176. from (1)

now we get quadratic equation in b

i.e. b^2 -27b +176=0

and we get b(breadth) values as 11 or 16

by sub these values in (1) we get length l values

HOPE THIS ANSWER

HELPS YOU