Question

If the length and breadth of a rectangle are in the ratio of 1:2/5, and its area is 2,250 square centimetres, then find its breadth
O 75 cm
25 cm
30 cm
ОО
45 cm
​

Answer 1

Answer:

Let, the length and breadth be 1x and 2/5x.

We know that,

Area of a rectangle=l × b

Now,

Area of rectangle=2250 cm square

$l \times b = 2250$

$x \times \frac{2}{5} x = 2250$

$\frac{2}{5} x ^{2} = 2250$

${x}^{2} = \frac{2250 \times 5}{2}$

${x}^{2} = 5625$

$x = \sqrt{5625}$

$x = 75$

Therefore, the length and breadth be

$1x = 1 \times 75 = 75$

$\frac{2}{5} x = \frac{2}{5} \times 75 = 30$

Therefore, the breadth is 30.