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 coloured part?

825 cm²

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375 cm²

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675 cm²

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1125 cm²

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Solution

The correct option is C
675 cm²

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

= $(30 c m \times 30 c m) - (15 c m \times 15 c m)$

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

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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 coloured part?

The correct option is C 675 cm2 Area of the region shaded in orange = Area of the bigger square - Area of the smaller square = (30 cm×30 cm)−(15 cm×15 cm) = 900 cm2−225 cm2 = 675 cm2

The correct option is C
675 cm²

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

= $(30 c m \times 30 c m) - (15 c m \times 15 c m)$

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