Question

Solve this math problem

Answer 1

`A_(trapezoid)=88~cm^2`

`A_(kite)=30~in^2`

Explanation:

Each shape has its own formula for Area. Identify the correct formula, identify the needed parts of the shape, substitute, and calculate.

Trapezoid

`A_(trapezoid)=(b_1+b_2)/(2)h` where

• b1 and b2 are the bases of the trapezoid, and
• h is the perpendicular height.

Stated another way, the area is the height times the average of the two bases.

The two bases are 12cm and 20cm, and the perpendicular height is 8cm.

Substituting the known values into the formula:

`A_(trapezoid)=((12~cm)+(20~cm))/(2)(8~cm)`

`A_(trapezoid)=(22~cm)/(2)*8~cm`

`A_(trapezoid)=11~cm*8~cm`

`A_(trapezoid)=88~cm^2`

Kite

`A_(kite)=(1)/(2)d_1d_2` where

• d1 and d2 are the lengths of the two diagonals (distance from vertex to opposite vertex).

One of the diagonals is given explicitly as 10in. The other, is the sum of 3in and 3in, which is 6in.

Substituting the known values into the formula:

`A_(kite)=(1)/(2)(10~in)(6~in)`

`A_(kite)=5~in*6~in`

`A_(kite)=30~in^2`

Caution: Don't forget that Areas are 2-D quantities, and the units associated with them will be some sort of units squared. This is different than lengths and distances which are 1-D quantities and will just be a regular unit.

Answer 2

The area for the trapeziod will be 128

The area for the kite will be 30

Explanation: