The composite figure is made up of a rectangle and two pentagons. Find the
area
O
A. 332 sq. units
B. 290 sq. units
O
C. 200 sq units
D. 552 sq units

Given:

A composite figure made up of a rectangle and two pentagons.

To find:

The area of the composite shape.

Solution:

If a pentagon has a side length of s and an apothem of a, the area of the pentagon is given by

In the given diagram, the pentagons have side lengths of 8 units and an apothem of 5.5 units.

The area of a pentagon sq units.

The area of 2 such pentagons square units.

The rectangle has a length of 14 units and a width of 8 units.

The area of a rectangle

The area of the rectangle square units.

The area of the composite shape is the sum of the individual areas of the different shapes.

The area of the composite shape sq units.

The area of the composite shape is option A. 332 sq units.