The length of a rectangle is twice its breadth. If its perimeter is 60 cm, find the length and the breadth of the rectangle..
Answers
Answer:
length is 20cm and breadth is 10cm
explanation:let breadth be x
explanation:
P=2(L+B) (formula)
60=2(2x+x) (if length is twice of breadth, then length =2x)
60=2×3x
60=6x
x=60÷6
x=10
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Let's use the information given in the problem to write down some equations :—
Let L be the length of the rectangle and B be the breadth of the rectangle.
From the first sentence of the problem, we know that L = 2B.
From the second sentence of the problem, we know that the perimeter P of the rectangle is given by:
P = 2L + 2B
We can substitute L = 2B into this equation to get:
P = 2(2B) + 2B = 6B
We also know from the problem that the perimeter is 60 cm. So we can set 6B = 60 and solve for B:
6B = 60
6B = 60B = 10
Now that we know the breadth of the rectangle is 10 cm, we can use the equation L = 2B to find the length:
L = 2B = 2(10) = 20
★ So the length of the rectangle is 20 cm and the breadth of the rectangle is 10 cm.
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