Question

Find the area of this shape.

The area of the shape is
____ square centimeters.

Answer 1

Hello from MrBillDoesMath!

Answer:

35

Discussion:

The "diamond" shape can be viewed as a trapezoid on top of a triangle.

Area of trapezoid = (1/2) h ( b1 + b2)

= (1/2) 2 ( 4 + ( 4 + 4) )

= (1/2) 2 ( 12)

= 12

Area of triangle = (1/2) b h

= (1/2) ( 4 + 4) (5.75)

= 23

So the area of the diamond is 12 + 23 = 35 square centimeters

Thank you,

MrB

Answer 2

35 square centimeters.

Explanation:

We have been given an image of shape. We are asked to find the area of given shape.

The area of the given image will be equal to area of trapezoid plus area of triangle.

`\text{Area of trapezoid}=(B_1+B_2)/(2)*h`, where,

`B_1\text{ and }B_2` = Parallel bases,

h = Height of trapezoid.

`\text{Area of trapezoid}=(4+4+4)/(2)*2`

`\text{Area of trapezoid}=(12)/(2)*2`

`\text{Area of trapezoid}=12`

`\text{Area of triangle}=(b*h)/(2)`

`\text{Area of triangle}=((4+4)*5.75)/(2)`

`\text{Area of triangle}=(8*5.75)/(2)`

`\text{Area of triangle}=4*5.75`

`\text{Area of triangle}=23`

`\text{Area of image}=23+12`

`\text{Area of image}=35`

Therefore, the area of the given shape is 35 square centimeters.