the length of a rectangle is 10 m more than its breadth.if the perimeter of rectangle is 80 m, find the area of the rectangle
Answers
Step-by-step explanation:
Let The breadth be 'x' cm
Therefore,The lenght ='x+10'cm
Perimeter Of the Rectangle=2(l+b)
80m=2(x+x+10)
=2(2x+10)
80 =4x+20
4x=80-20
x=60/4
x=15
Length=x=15m
Breadth=x+10=25m
Area of rectangle=l*b
=15*25
=375m2
The length of a rectangle is 10 m more than its breadth. If the perimeter of rectangle is 80 m, find the area of the rectangle.
✯ Given,
➩ Perimeter = 80m
➩ 2 (l + b) = 80m
➩ l + b = 40
Now,
Let the breadth of the rectangle be
= x m.
Let the length of the rectangle be
= (x + 10) m.
Then,
➩ (x + 10) + x = 40
➩ 2x + 10 = 40
➩ 2x = 40 - 10
➩ 2x = 30
➩x = 15 m
Therefore,
➜ Breadth of the rectangle = x = 15 m
➜ Length of the rectangle = (x + 10) cm = 15 + 10 = 25 m
➜ Area of the rectangle = l × b = 25 × 15 = 375 m².
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