Question

The trapezoid and kite have been broken for you.

The trapezoid has an area of__m2.

The kite has an area of__m2

The area of the trapezoid is__the area of the kite.

Answer 1

Here Are Your Answers :)

The area of the trapezoid is 20 m(2).

The area of the kite is 21 m(2).

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

Answer 2

• 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.