The length of a rectangle is 8 cm more than the breadth. If the perimeter of the rectangle is 80 cm, then what is the area of the rectangle?
Answers
Answered by
2
Step-by-step explanation:
l=b+8
perimete=4b+16=80
4b=80-16
4b=64
b=64/4
b=16
l=b+8
=16+8
=24
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Answered by
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Given:-
- The length of a rectangle is 8cm more than the breadth
- The perimeter of the rectangle is 80cm
To find:-
- The area of the rectangle
Solution & explanation:-
Let assume the breadth(W) of rectangle is x,
Then, length (L) become x + 8
perimeter of rectangle(P) = 2(L + w)
P = 80cm
L = x + 8
W = x
⇒80 = 2(x + x + 8)
⇒80 = 2x + 8
⇒40 = 2x
⇒x = 40 / 2
⇒x = 20
Hence by putting value of x
Length of rectangle is "x + 8 = 20 + 8 = 28cm"
Breadth of rectangle is "x = 20cm"
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