Question

the dimension of a rectangular plot is [7p+4q] and [3p+8p] unita respectively. Find the area of the plot when p=2 and q=1

Answer 1

The area of the rectangular plot is 396 square unit.

Explanation:

let [7p +4q ]= length of the rectangular plot. And

[ 3p+8p ] = width of the rectangular plot

given that p=2 and q=1

substitute them in the expression for the length

length=7(2)+4(1)

length=14+4

length=18units

again subject the values for p and q into the expression for the width

width=3(2)+8(2)

width=6+16

width=22units

but mathematically,

Area of a rectangular plot

= Length×width

A=L×W

given L=18units and W=22units

A=18units × 22units

A=396 square unit.