Area of Kite/Rhombus

Question

https://ibb.co/hRSVD4VV

Answer 1

This time, the kite is divided into 4 triangles, but there are 2 pairs of congruent triangles.

1) Find the area of the first set of congruent triangles.

For each triangle

b₁ = 6cm

h₁ = 8cm

A₁ = 1/2 * b * h = 1/2 * 6cm * 8cm = 24 sq cm

2) Find the area of the second set of congruent triangles

For each triangle

b₂ = 6cm

h₂ = 20cm

A₂ = 1/2 * b * h = 1/2 * 6cm * 20cm = 60 sq cm

3) The area of the whole kite is 2 times the area of the top triangles, add to 2 times the area of the bottom triangles.

A_kite = 2*A₁ + 2*A₂ = 2*24sq cm + 2*60sqcm = 48sq cm + 120 sq cm = 168 sq cm

So the area of the kite is 168 sq cm.

Answer 2

The area is the sum of the areas of the four triangles: bh / 2.