Question

A rectangular plot of land consists of a square garden planted with tulips and a concrete path surrounding the garden. The area of the garden is 9/14 of the area of the plot of land. Calculate the length of one side of the square garden.

Answer 1

Area of rectangular plot= x
Area of the garden=x×9/14
side×side =9x/14
side^2=9x/14
side=3androotx/14

Answer 2

The length of one side of the square garden is 6 meter

Solution:

Let the length of side of square garden be "x"

The dimensions of rectangular plot are 7 m and 8 m

Area of rectangular plot = 7 x 8 = 56 square meter

Given that,

The area of the garden is 9/14 of the area of the plot of land

Therefore,

$\text{Area of square garden } = \frac{9}{14} \times \text{ area of rectangular plot }\\\\\text{Area of square garden } = \frac{9}{14} \times 56\\\\\text{Area of square garden } = 9 \times 4\\\\\text{Area of square garden } = 36$

We know that,

$Area\ of\ square = a^2$

Therefore,

$36 = a^2\\\\a = 6$

Thus the length of one side of the square garden is 6 meter

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