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Cogito

Grade 5 Math · Chapter 6 · Lesson 3

Practice Worksheet

Area with Fractional Sides

A rectangle that is part of a unit wide.

10 problems · about 15 minutes · 5.NF.B.4

NameDate

Figure — use these to answer the problems

The formula does not change. Only the side lengths do.

Area · squares inside

12

Perimeter · walk around

14

3 × 4 = 12 · 3 + 4 + 3 + 4 = 14

Width3
Height4
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Multiplying as Scaling”

    What is 3/5 × 25?

    Answer

  2. From “A Fraction of a Fraction”

    3/4 × 2/5. What is the bottom number?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 1/2 by 2/5. What is the bottom number of the area?

    Answer

  2. How do you find the area of a rectangle?

    • Length × width.
    • Length + width.

  3. 1/3 by 1/5. What is the bottom number of the area?

    Answer

  4. 2/3 by 1/2. What is the top number of the area?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 3/5 by 2/3. What is the bottom number of the area?

    Answer

  2. Does the area formula change for fractional sides?

    • No. It is still length × width.
    • Yes.

Stretch Yourself

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

2 problems

  1. The Small Tile

    A rectangle 1/2 by 1/4. What is the bottom number of its area?

    Answer

  2. The Garden Patch

    A patch 3/4 m by 2/5 m. What is the bottom number of its area?

    Answer