Question

One side of a rectangle is 20 metres longer than the other and its area is 224 square metres. What are the lengths of the sides​

Answer 1

Answer:

8 m and 28 m

Explanation:

Let's say the side of the rectangle is "a" m.

Given that one side of a rectangle is 20 metres longer than the other and its area is 224 square metres.

As per given statement,

One side of rectangle = a

Other side of rectangle = (a + 20)

And we know that area of rectangle is the product of length and breadth.

So,

Area of rectangle = l × b

224 = a(a + 20)

224 = a² + 20a

a² + 20a - 224 = 0

a² - 8a + 28a - 224 = 0

a(a - 8) +28(a - 8) = 0

(a + 28) (a - 8) = 0

a + 28 = 0, a - 8 = 0

a = -28, 8

So, the value of a is 8. And from here the other side of the rectangle is (8 + 20) i.e. 28.

Therefore, the length of the sides of the rectangle are 8 m and 28 m.

Answer 2

Answer:

the lengths of the sides are 8m and 28m

Explanation:

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