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PERIMETER AREA RECTANGLE WIDTH AREA OF A RECTANGLE
Mira B. asked • 07/07/15
a rectangle has a perimeter of 40 cm. If the length is 2 cm longer than twice the width, find the area of the rectangle?
a rectangle has a perimeter of 40 cm. If the length is 2 cm longer than twice the width, find the area of the rectangle?
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2 Answers By Expert Tutors
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Selam N. answered • 07/07/15
Experienced Educator with Masters Degree (in area of expertise)
P=2l+2w
We are given,
P=40cm
l=2w+2
Plug these into the first formula and solve for the dimensions,
length and width, of the rectangle:
40=2(2w+2)+2w Simplify
40=4w+4+2w
40=6w+4
36=6w
6=w OR the width is 6cm, therefore,
the length is
l=2(6)+2
l=14cm
To calculate the area of a rectangle, A=lw,
plug the length,14cm, and the width, 6cm, into this formula
A=(14)(6)
A=84cm2 OR the area of the rectangle is 84cm2.
