Question

The length of a rectangular field is twice its length. If its area is
1800 sq m, find the length and breadth of the field.

Answer 1

Step-by-step explanation:

breadth =b

length=2b

2b^2=1800

b^2=900

b=30

length =60

Answer 2

Question -:

• The length of a rectangular field is twice its length. If its area is 1800 sq.m, find the length and breadth of the field.

To Find -:

• Length and breadth of rectangular field.

Solution -:

Let's assume the breadth of rectangular field be x and the length of the rectangular field be 2x.

We know that;

$\bullet \: {\underline{\boxed{\mathcal{\pmb{\quad Area \: of \: the \: rectangular \: field = length \times breadth}}}}}$

Substituting values,

$:\implies\sf{2x \times x = 1800} \\ \\ :\implies\sf{2 {x}^{2} = 1800} \\ \\ :\implies\sf{ {x}^{2} = \frac{\cancel{1800}}{\cancel{2}}} \\ \\ :\implies\sf{ {x}^{2} = 900} \\ \\ :\implies\sf{x = \sqrt{900} } \\ \\ :\implies{\boxed{\sf{\gray{x = 30 \: \bigstar}}}}$

• Breadth of rectangular field = x = 30m

• Length of rectangular field = 2x = 2 × 30 = 60m

Therefore;

• The breadth and the length of the rectangular field are 30m and 60m.