The length of a rectangular plot of land is $29\dfrac{3}{7}$m. If its breadth is $12\dfrac{8}{11}$m, find its area.

Given:

Length of a rectangular plot of land = $29\dfrac{3}{7}$ m

Breadth of a rectangular plot of land = $12\dfrac{8}{11}$ m

Area of a rectangular plot of land = ?

We know the formula,

Area of rectangle = Length x Breadth

By substituting the values we get,

Area of rectangle = Length x Breadth

$\begin{array}{ll} = \Big(29\dfrac{3}{7} \times 12\dfrac{8}{11}\Big) \text{m}^2 \\ = \Big(\dfrac{206}{7} \times \dfrac{140}{11}\Big) \text{m}^2 & \text{ [Converting mixed to improper fraction]} \\ = \Big(\dfrac{206}{1} \times \dfrac{20}{11}\Big)\text{m}^2 & \text{[Simplifying 140 and 7 ⇒ Divide by 7 ]} \\ = \dfrac{206 \times 20}{1 \times 11} \text{m}^2 \\ = \dfrac{4120}{11}\text{m}^2 \\ = 374\dfrac{6}{11}\text{m}^2 & \text{[Converting improper to mixed fraction]} \end{array}$

∴ The area of a rectangular plot of land is $374\dfrac{6}{11}$ m²