Question

There was a kite making competition in Rahul’s school. Rahul and his group came up with a kite which looked like the one in the figure.

What is the area of the kite if the area of the red colored part is 50 ${\text{cm}}^2$?

• A. 75 cm²
• B. 50 cm²
• C. 100 cm²
• D. 120 cm²

Answer 1

The correct option is C

100 cm²

For a kite, two adjacent sides are equal.

There are two triangles, which are colored red and green.

Since the two adjacent sides are equal for a kite and a diagonal which is common to both triangles, by the SSS congruence criterion we can prove that both the triangles are congruent and they have equal areas.

So, the area of the kite will be equal to the sum of the area of the two triangles.

Area of kite = (50 + 50) ${\text{cm}}^2$ = 100 ${\text{cm}}^2$