The perimeter of a rectangle is 120 cm. If the length of the rectangle is 40 cm, find
its area
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Answer:
Perimeter of rectangle =40 cm (given)
condition :- length = 2× breadth +2
⇒l=2b+2
perimeter p=2(l+b)=40
⇒2(2b+2+b)=40
⇒2(3b+2)=40
⇒6b=40−4=36
∴b=6cm
l=2×6+2=12+2=14cm
∴ length =14 cm, breadth =6 cm
Step-by-step explanation:
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Solution :
Given :
- The perimeter of a rectangle is 20cm.
- The length of the rectangle is 40cm.
To find :
- The area of the rectangle.
We also need to find the width of the rectangle. So,
★ Perimeter = 2 ( l + w )
Where,
l = length
w = width
Perimeter = 2 ( 40 + w )
120 cm = 80 + w
120 cm - 80 cm = w
40 cm = w
★ Area = l × w
Where,
l = length
w = width
Area = 40 cm × 40 cm
Area = 1600 cm
Therefore, the area of the rectangle is 1600 cm.
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