Question

On Diwali, Ted’s mom made a colorful rangoli as shown in the figure. The bigger square measured 30 cm by 30 cm and the smaller square measured 15 cm by 15 cm. What was the area of the orange colored part?

• A. $825c{m}^2$
• B. $375c{m}^2$
• C. $675c{m}^2$
• D. $1125c{m}^2$

Answer 1

The correct option is C

$675c{m}^2$

Area of a square = side $\times$ side

Area of the region shaded in orange
= Area of the bigger square - Area of the smaller square

$=(30cm\times 30cm)-(15cm\times 15cm)$

$=900c{m}^2-225c{m}^2=675c{m}^2$