SOLUTION: If the perimeter of a rectangle is 42 cm and the area is 90 square cm, then what are the dimensions of the rectangle?

Algebra.Com
Question 874641: If the perimeter of a rectangle is 42 cm and the area is 90 square cm, then what are the dimensions of the rectangle?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,

P = 2L +2w = 42cm
L + w = 21
A = Lw
(21-w)w = 90cm^2
w^2 - 21w + 90 = 0
(w-15)(w-6) = 0
Dimensions: 15cm by 6cm
RELATED QUESTIONS

If the perimeter of a rectangle is 42 cm and the area is 90 square cm, then what are the... (answered by Alan3354)
what are the dimensions of a rectangle if the perimeter is 42 cm and the area is 80 cm... (answered by Alan3354)
If the perimeter of a rectangle is 46 cm and the area is 132 square cm, then what are the (answered by richwmiller)
If the perimeter of a rectangle is 44 cm and the area is 117 square cm, then what are the (answered by Alan3354)
If the perimeter of a rectangle is 54 cm and the area is 182 square cm, then what are the (answered by Alan3354,stanbon,MathTherapy)
If the perimeter of a rectangle is 36 cm and the area is 80 square cm, then what are the... (answered by Alan3354)
If the perimeter of a rectangle is 36 cm and the area is 77 square cm, then what are the... (answered by Alan3354)
If the perimeter of a rectangle is 44 cm and the area is 105 square cm, then what are the (answered by ikleyn)
the perimeter of a rectangle is 32 cm and the area is 55 square cm, then what are the... (answered by josgarithmetic)