The perimeter and area of a regular pentagon with side lengths of 6 and an apothem of 7

Hey there!

The formula for the perimeter of a regular polygon:

P = sn

Where P is perimeter, s is side length, and n is number of sides.

Since this is a pentagon, n is 5. The side length is given: 6.

So, P = 6 x 5.

Multiply.

This means the perimeter is 30.

The formula for the area of a regular polygon:

A = 1/2Pa

Where P is perimeter and a is apothem.

We already found perimeter, which is 30, and the apothem is given, 7.

So, A = 1/2 x 30 x 7

Multiply.

The area of the pentagon is 105.

Hope this helps!

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)