Question

The perimeter of a rectangular field is 28 m and its area is 40 sq. m. Its sides are ______.

पर्याय

• 8 m and 6 m

• 4 m and 10 m

• 10 m and 6 m

• 3 m and 11 m

Answer 1

The perimeter of a rectangular field is 28 m and its area is 40 sq. m. Its sides are 4 m and 10 m.

Explanation:

Let the length of rectangular field = x m

And perimeter of rectangular field = 25 m

`\implies` 2(x + breadth) = 28

`\implies` x + breadth = 14

`\implies` Breadth of rectangular field = 14 – x

Given the area of field = 40 sq. m

`\implies` Length × Breadth = 40

`\implies` x(14 – x) = 40

`\implies` 14x – x² = 40

`\implies` x² – 14x + 40 = 0

`\implies` x² – 10x – 4x + 40 = 0

`\implies` x(x – 10) – 4(x – 10) = 0

`\implies` (x – 10)(x – 4) = 0

Either x – 10 = 0 or x – 4 = 0

`\implies` x = 10 or x = 4