Question

How large is one side of the square garden plot

in meters?
Two garden plots are to have the same
area. One is square and one is
rectangular. The rectangular plot is 4
meters wide and 16 meters long.

Answer 1

Given - Length of the Rectangular Plot : 16 meters

Given - Width of the Rectangular Plot : 4 meters

We know that - Area of a Rectangle is given by : Length × Width

`:\implies` Area of the Rectangular plot = (16 × 4) m²

`:\implies` Area of the Rectangular plot = 64 m²

Given : Square plot and Rectangular plot have same Area

`:\implies` Area of Rectangular plot = Area of Square plot

`:\implies` Area of Square plot = 64 m²

We know that - Area of Square is given by : Side × Side

`:\implies` Side × Side = 64 m²

`:\implies` S² = 64 m²

`:\implies` S² = 8² m²

`:\implies` S = 8 m

Answer : One side of the Square Garden plot is 8 meter

Answer 2

Side of the square plot = 8 m

Explanation:

l = 16 m

b = 4 m

Area of the rectangular plot = l * b

= 16 * 4 = 64 m²

Area of square plot = Area of rectangular plot

side * side = 64 m²

side = √64 = 8 m