Question

Find the area of this shape. The area of this shape is _______ square centimeters.

Answer 1

Explanation:

area =(4+4+4)/2×2+1/2×(4+4)×5.75

=12+23.00

=35 sq.cms.

Answer 2

Explanation:

Area of triangle =
`(1)/(2)`(b*h)

Area of rectangle = b*h

`A(big-triangle) = (1)/(2) (5.75*4)`

`A(big-triangle) = (1)/(2)(23)`

`A(big-triangle) = 11.5`

Since there are two big triangles, then we can multiply 11.5 by 2.

11.5 * 2 = 23

`A(small-triangle) = (1)/(2)(2*2)`

`A(small-triangle) = (1)/(2) (4)`

`A(small-triangle) = 2`

Since there are two small triangles, then we can multiply 2 by 2.

2 * 2 = 4

`A(rectangle)= 4 * 2`

`A(rectangle) = 8`

Now, we can add up all of the areas so we can find the total area of the entire shape.

23 + 4 + 8 = 35

So, the area of the entire shape is 35 square cm.