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Cogito

Grade 4 Math · Chapter 7 · Lesson 8

Practice Worksheet

Area and Perimeter Formulas

Two different questions about the same rectangle.

10 problems · about 16 minutes · 4.MD.A.3

NameDate

Figure — use these to answer the problems

Change the sides. Watch both numbers change in different ways.

Area · squares inside

48

Perimeter · walk around

28

8 × 6 = 48 · 8 + 6 + 8 + 6 = 28

Width8
Height6
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

1 problem

  1. From “Units of Measurement”

    7 metres in centimetres?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. Area of an 11 by 6 rectangle?

    Answer

  2. Perimeter of an 11 by 6 rectangle?

    Answer

  3. Area of a 12 by 5 rectangle?

    Answer

  4. Perimeter of a 12 by 5 rectangle?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Area is 72, one side is 8. How long is the other?

    Answer

  2. Do two rectangles with the same perimeter always have the same area?

    • No.
    • Yes.

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

3 problems

  1. The Garden

    A garden is 9 m by 7 m. What is its area, in square metres?

    Answersquare metres

  2. The Fence

    The same 9 m by 7 m garden. How much fence goes all the way round?

    Answermetres

  3. The Missing Side

    A rectangle has an area of 54 and one side of 9. How long is the other side?

    Answer