Question

1. Estimate the area of the irregular shape. Explain your method and show your work.

Answer 1

check the picture below.

notice, is just an approximation, leaving some bits out and some bits in, kinda compensating each other.

but a rectangle like so, of 6 x 5.5 units, will give you a ballpark approximation.

Answer 2

The estimated area of figure is 30 square units.

Explanation:

We need to find the area of the irregular shape.

Draw a quadrilateral as shown below.

It is a trapezium with bases 5 units and 7 units, and height 5 units.

Area of a trapezoid is

`Area=(a+b)/(2)* h`

where, a, b are bases and h is height.

Substitute a=5,b=7 and h=5 in the above formula.

`Area=(5+7)/(2)* 5`

`Area=6* 5`

`Area=30`

Therefore, the estimated area of figure is 30 square units.