Question

I need the questions on the screen solved, thank you. 1. Perimeter =_______ Area=________2. Find the perimeter and area of the shape to the right.Perimeter=________Area=___________

Answer 1

Let's break apart the composite figure:

The unknown side lengths are labeled in blue.

Perimeter

The perimeter of any shape is the sum of all of the sides.

Let's start at the bottom ( 9 inch ) and add each side length, going counterclockwise. So,

`\begin{gathered} 9+2+3+3+3+3+3+2 \\ =28 \end{gathered}`

The perimeter is 28 inches

Area

We have broken down the area of the composite figure into 2 parts.

• Top Part - A square with side lenghts of 3 inches

,

• Bottom Part - A rectangle with length 9 inches and height 2 inches

Area of Top (Red Color)

A = 3^2 = 9 sq. in.

Area of Bottom (Orange Color)

A = 9 x 2 = 18 sq. in.

Total Area is 9 + 18 = 27 sq. in.

Total Area

27 square inches