Question

John enlarged one side of his square flower bed by 8 ft to make it into a rectangle. The area of the new flower bed is 3 times the old one

Answer 1

If the side of the square flower bed was enlarged by 8 feet and the area of the new flower bed was 3 times the area of the old one then the length of the side of the old flower bed was 4 feet.

Given that the side of square flower bed was enlarged by 8 feet and the area of the new flower bed was 4 feet.

We are required to find the length of the side of the old flower bed.

We know that the area of rectangle is equal to the product of length and breadth of that rectangle.

let x represents the side of the square old flower bed.

Dimensions of new rectangular flower bed:

Width=x

Length =x+8

Area=3*$x^{2}$

=3$x^{2}$

Thus:

x(x+8)=3$x^{2}$

$x^{2}$+8x=3$x^{2}$

2$x^{2}$=8x

2x=8

x=4

Hence if the side of the square flower bed was enlarged by 8 feet and the area of the new flower bed was 3 times the area of the old one then the length of the side of the old flower bed was 4 feet.

Question is incomplete as the next part of the question is as under:

Calculate the length of the side of the old flower bed?

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