Question

The area of a rectangular field whose length is twice its breadth is 6050 m². The perimeter of the field is:

a. 155m
b. 330m
c. 370m
d. 430m​

Answer 1

Answer:

$\sf\pink{Answer†↓}$

Breadth is =>6050m²

=Let the Breadth of the field be (x metres)

Then length of the field is (2x metres)

Therefore, area of the rectangular field = L×B

=>2x × x

=>(2x)²m²

Given:-

That area is 6050m²

Therefore, 2x²=6050

$\sf = \geqslant \: {x}^{2} = \frac{6050}{2} \\ \sf{x = \sqrt{3025} } \\ \sf{x = 55}$

$\sf{breadth = 55 } \\ \sf{length = 55 \times 2 = 110m}$

$\sf\orange{perimeter \: of \: the \: field = 2(l + b)} \\ \sf\green{ = 2(110 + 55)m} \\ \sf\red{ = 2 \times 165 \: m} \\ \sf{=330m }$

so, option (B) is correct✓

=330m