The Area Of Agarden Is 180m2 Suppose The Lingth Of The Garden Is 8m More Its Width…

the area of agarden is 180m2 suppose the lingth of the garden is 8m more its width​

Answer:

Let’s assume the width of the garden is represented by “x” meters. Since the length of the garden is 8 meters more than its width, we can represent the length as “x + 8” meters.

To find the area of the garden, we multiply the length by the width. Therefore, we have:

Area = Length × Width

180 = (x + 8) × x

Now, we can solve this quadratic equation to find the value of “x” (width) and subsequently determine the length (x + 8):

x^2 + 8x – 180 = 0

Using factorization or the quadratic formula, we get:

(x + 18)(x – 10) = 0

This gives us two possible solutions for “x”, which are x = -18 and x = 10. Since the dimensions cannot be negative, we discard x = -18.

So, the width of the garden is 10 meters.

The length of the garden, which is 8 meters more than the width, would be:

Length = Width + 8 = 10 + 8 = 18 meters.

Therefore, the width of the garden is 10 meters, and the length is 18 meters.

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