Question

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A kite was broken into two triangles.

The area of each triangle is
____ m2.
The total area of the kite is
____ m2.

Answer 1

20 m²

21 m²

less than

Explanation:

Trapezoid

The trapezoid has been broken into two triangles and a rectangle. The two triangles both have the same dimensions, so both have the area ...

A = (1/2)bh = (1/2)(2 m)(5 m) = 5 m²

The rectangle has area ...

A = bh = (2 m)(5 m) = 10 m²

So, the total area of the trapezoid is ...

trapezoid area = 5 m² +10 m² +5 m²

trapezoid area = 20 m²

__

Kite

The kite has been broken into two triangles, so the area of each of them is ...

A = (1/2)bh

A = (1/2)(7 m)(3 m) = (21/2) m²

Then the area of the two halves of the kite will be ...

kite area = 2 × (21/2 m²)

kite area = 21 m²

__

The area of the trapezoid is 1 m² less than the area of the kite.

hope this helps!! ≡ω≡

Answer 2

area of triangle is base x height over 2
20 x 7 = 140
140/2 = 70
area of each triangle is 70m2
add the areas together to get the total area
70 + 70 = 140
total area is 140m2