Mathematics

Grade9

Easy

Question

# Find the area of the regular pentagon shown below.

- 675
- 895
- 1000
- 950

Hint:

Mathematics

Grade9

Easy

Question

- 675
- 895
- 1000
- 950

Hint:

Here, we have to find the area of the given pentagon.

From the given figure we can say that,

Apothem =15 units

Length of each side of polygon= 18 units

Since, pentagon has 5 sides.

So, the perimeter is

P=side length× no. of sides

P=18×5

P=90 units

The formula for area of a polygon is given by

A=×apothem× perimeter of polygon

A=675

So, the area of the given pentagon is 675.

Therefore, the correct option is a, i.e., 675.