Measurement and Data: Area & Perimeter Word Problems CCSS 4.MD.3

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Table of Contents

Measurements are all around our everyday lives. Lengths are essential in finding the perimeter and area of a surface. Here we will be dealing with the perimeter and area of rectangles.

See the fact file below for more information on the area & perimeter word problems or alternatively, you can download our 30-page Measurement and Data: Area & Perimeter Word Problems CCSS 4.MD.3 worksheet pack to utilise within the classroom or home environment.

Key Facts & Information

LEARNING OBJECTIVE:

At the end of the lesson, the student will be able to apply the knowledge learned about the formulas for the area and perimeter of rectangles in real life word problems.

A NOTE FOR THE TEACHER:

When dealing with area and perimeter word problems, take note of the following:
- You are dealing with lengths: cm, m, km, in, ft, yd, mi
- Know that perimeter uses addition and its label will be the same as the lengths’.
- Know that area uses multiplication, and its label will be the squared unit (eg. square meters or m2).

THEORY:

Measurements are all around our everyday lives. Lengths are essential in finding the perimeter and area of a surface.
Here we will be dealing with the perimeter and area of rectangles.
Recall that the perimeter is found by adding all the sides of an object.
Consider the rectangle below.

We notice that it has two pairs of equal values, represented by the lengths and the widths. The width is 5 cm, and the length is 10 cm.
Adding all the lengths and the widths, we produce the equation:
- 5 cm + 5 cm + 10 cm + 10 cm = 30 cm
We can understand that the perimeter of a rectangle is solved by the equation:
Perimeter = Width + Width + Length + Length = 2(width) + 2(length)
To add, recall that a square is a rectangle with all its four sides having the same value. We can represent the value as the side.
Thus:
- Perimeter of a square = side + side + side + side = 4(side)
Moving forward, recall that the area is the space occupied within the perimeter of the shape.
Consider the rectangle again.

Getting the area of a rectangle means we simply multiply the value of the length to the value of the width.
Thus, the rectangle’s area is:
- 5 cm x 10 cm = 50 square cm or 50 cm2
Notice that the unit was squared because it is part of the equation.
A unit times a unit is equal to a squared unit.
Thus, we can understand that the area of a rectangle is solved by the equation
- Area = length x width
Similarly, the area of the square is multiplying the value of the side to itself.
- Area of a square = side x side = (side)2
Remember, when dealing with word problems, check if there is a need to convert the units first before solving. Also, always label the final answer.