Question

The length of a rectangular plot is expressed as x²m and the breadth is xm if the area of the rectangular plot is 5832sqcm then find it's length and breadth

Answer 1

Length = x^2 = 0.835^2 = 0.698 m = 69.8cm

Breadth = x = 0.835 m = 83.5cm

Explanation:

Given;

Length of the rectangular plot l = x^2 m

Breadth b = x m

Area A = 5832 cm^2 = 0.5832 m^2

(They should be converted to the same units before solving: length in metres and area in square metres)

The area of a rectangular plot can be calculated using the formula;

Area = length × breadth

A = l × b

Substituting the values of l and b;

A = x^2 × x

A = x^3

Substituting the value of A;

0.5832 = x^3

solving for x;

x = (0.5832)^(1/3)

x = 0.835 m

Length = x^2 = 0.835^2 = 0.698 m = 69.8cm

Breadth = x = 0.835 m = 83.5cm