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The formula for the perimeter of a rectangle is P = 2(l + b).

Mathematics

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3 parts
1.1

14 cm\text{14 cm}

1.2

12.04 cm\text{12.04 cm}

1.3

2 cm\text{2 cm}

Step-by-step solution

6 steps

Here are the solutions for Activity 1:

The formula for the perimeter of a rectangle is P=2(l+b)P = 2(l + b).

Part 1.1· 2 steps

  1. Substitute the given values l=4 cml = 4 \text{ cm} and b=3 cmb = 3 \text{ cm} into the formula.

    P=2(4 cm+3 cm)P = 2(4 \text{ cm} + 3 \text{ cm})

  2. Add the length and breadth, then multiply by 2.

    P=2(7 cm)P = 2(7 \text{ cm}) P=14 cmP = 14 \text{ cm}

    The perimeter is 14 cm\boxed{\text{14 cm}}.

Part 1.2

12.04 cm\text{12.04 cm}

  1. Substitute the given values l=3.72 cml = 3.72 \text{ cm} and b=2.3 cmb = 2.3 \text{ cm} into the formula.

    P=2(3.72 cm+2.3 cm)P = 2(3.72 \text{ cm} + 2.3 \text{ cm})

  2. Add the length and breadth, then multiply by 2.

    P=2(6.02 cm)P = 2(6.02 \text{ cm}) P=12.04 cmP = 12.04 \text{ cm}

    The perimeter is 12.04 cm\boxed{\text{12.04 cm}}.

Part 1.3

2 cm\text{2 cm}

  1. Substitute the given values l=34 cml = \frac{3}{4} \text{ cm} and b=14 cmb = \frac{1}{4} \text{ cm} into the formula.

    P=2(34 cm+14 cm)P = 2\left(\frac{3}{4} \text{ cm} + \frac{1}{4} \text{ cm}\right)

  2. Add the length and breadth, then multiply by 2.

    P=2(44 cm)P = 2\left(\frac{4}{4} \text{ cm}\right) P=2(1 cm)P = 2(1 \text{ cm}) P=2 cmP = 2 \text{ cm}

    The perimeter is 2 cm\boxed{\text{2 cm}}.

Part 1.4

Here is the table representing the length, breadth, and perimeter:

Length (cm)Breadth (cm)Perimeter (cm)
4314
3.722.312.04
34\frac{3}{4}14\frac{1}{4}2
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