the legth of a rectangle is 10 cm more than its width. if the perimeter of rectangle is 80 cm, find the dimensions of the rectangle.
Math
bellodoferdie
Question
the legth of a rectangle is 10 cm more than its width. if the perimeter of rectangle is 80 cm, find the dimensions of the rectangle.
1 Answer

1. User Answers futurenimo
Answer:
length= 25 cm
width= 15 cm
Stepbystep explanation:
FIrst is to write the given into mathematical expressions
length= x+10
width= x
perimeter= 80 cm
Next is to solve for the perimeter of the rectangle
p= 2l+2w
Substitute the length and width
p= 2(x+10) + 2(x)
Simplify
p= 2x+20 + 2x
p= 4x+20
Equate the binomial above to 80 to find the dimensions
4x+20=80
Solve for the value of x
4x=60
x=15
Substitute the values of x
length= (15) + 10= 25 cm
width= 15 cm
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