Question

The ratio of the length to the breadth of a rectangle is 7:4 if perimeter of the rectangle is 220m find the length of the rectangle?

Answer 1

220=2×7x+4x
220=2×11x
220=22x
220÷22=x
x=10
I=7×10=70
b=4×10=40

Answer 2

Answer:

The length of the rectangle is $70 \ m$

Step-by-step explanation:

Let the length and breadth of the rectangle be $x$.

According to the given question, $2(l+b)=220 \ m$

Therefore, $2(7x+4x) = 220$

$2(11x) = 220$

$22x = 220$

$x = \frac{220}{22}$

$x = 10$

Hence, the length will be = $7x = 7 \times 10 = 70 \ m$

the breadth will be = $4x = 4 \times 10 = 40 \ m$

Let us verify:

$2(70+40) = 220$

$2 (110) = 220$

$220 = 220$

$L.H.S. = R.H.S.$

Hence, proved.

Final Answer:

Hence, the length of the rectangle is 70 m.

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