Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Grade9

Easy

Question

Find the area of the regular pentagon shown below.

675
895
1000
950

hint Hint:

Polygon is a two- dimensional closed figure which is made up of three or more line segments. Each polygon has its own properties based on the number of sides. Area of a regular polygon can be determined using the formula $A r e a equals 1 half cross times P e r i m e t e r space o f space p o l y g o n cross times A p o t h e m$ . Here, we have to find the area of the given polygon.

The correct answer is: 675

In the question there is a pentagon as shown in the figure above.
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= $fraction numerator 1 over denominator 2 end fraction$ ×apothem× perimeter of polygon
$A equals fraction numerator 1 over denominator 2 end fraction cross times 15 cross times 90$
A=675
So, the area of the given pentagon is 675.
Therefore, the correct option is a, i.e., 675.

Related Questions to study

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.