Q:

How large is one side of the square garden plotin meters?Two garden plots are to have the samearea. One is square and one isrectangular. The rectangular plot is 4meters wide and 16 meters long.

Accepted Solution

A:
Given - Length of the Rectangular Plot : 16 metersGiven - Width of the Rectangular Plot : 4 metersWe know that - Area of a Rectangle is given by : Length × Width[tex]:\implies[/tex]  Area of the Rectangular plot = (16 × 4) m²[tex]:\implies[/tex]  Area of the Rectangular plot = 64 m²Given : Square plot and Rectangular plot have same Area[tex]:\implies[/tex]  Area of Rectangular plot = Area of Square plot[tex]:\implies[/tex]  Area of Square plot = 64 m²We know that - Area of Square is given by : Side × Side[tex]:\implies[/tex]  Side × Side = 64 m²[tex]:\implies[/tex]  S² = 64 m²[tex]:\implies[/tex]  S² = 8² m²[tex]:\implies[/tex]  S = 8 mAnswer : One side of the Square Garden plot is 8 meter