Question

The area of a rectangular field is 180 sq.m and the perimeter of the field is 54m then find the length and width of the field ??

Answer 1

Answer:

if Breadth = 15 m then Length = 12 m or

if Breadth = 12 m then Length = 15 m.

Step-by-step explanation:

If 'L' is Length and 'B' is Breadth of the field.

We get Area = L*B = 180 m²

L = 180 / B

and Perimeter = 2*(L+B) = 54 m.

L + B = 27

∴ 180/B + B = 27

∴ 180 + B² = 27B

∴ B² - 27B + 180 = 0

∴ (B - 15) (B - 12) = 0

∴ B = 15 or B = 12

Thus if B = 15 then L = 12 or

if B = 12 then L = 15