Question

In the given figure a rectangular plot of land measures 8 m by 6 m. In each of the corners, there is a flower bed in the form of a quadrant of a circle of radius 2 m. Also, there is a flower bed in the area of the remaining plot.

Answer 1

Let ABCD be the rectangular plot of land that measures 8 m by 6 m.
∴ Area of the plot = (8 m × 6 m) = 48 m²
Area of the four flower beds = $\left(4\times \frac{1}{4}\times \frac{22}{7}\times 2\times 2\right)$ m² = $\left(\frac{88}{7}\right)$ m²
Area of the circular flower bed in the middle of the plot = ${\mathrm{\pi r}}^2$
= $\left(\frac{22}{7}\times 2\times 2\right)$ m² = $\left(\frac{88}{7}\right)$ m²

Area of the remaining part = $\left\{48-\left(\frac{88}{7}+\frac{88}{7}\right)\right\}$ m²
= $\left\{48-\frac{176}{7}\right\}$ m²
= $\left\{\frac{336-176}{7}\right\}$ m² = $\left(\frac{160}{7}\right)$ m² = 22.86 m²
∴ Required area of the remaining plot = 22.86 m²