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The side of a square field is 40 cm. Find its perimeter and area. A rectangle has a length of 9 cm and a breadth of 8 cm. Find its perimeter and area.

Mathematics

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2 parts
41

160 cm\text{160 cm}

1600 cm2\text{1600 cm}^2

42

34 cm\text{34 cm}

72 cm2\text{72 cm}^2

Step-by-step solution

7 steps

Here are the solutions to the problems from the image.

Part 41· 3 steps

The side of a square field is 40 cm40 \text{ cm}. Find its perimeter and area.

  1. Write the formulas for the perimeter and area of a square.

    For a square with side length ss:
    Perimeter (PP) = 4s4s
    Area (AA) = s2s^2

  2. Substitute the given side length into the formulas.

    Given s=40 cms = 40 \text{ cm}.
    Perimeter:

    P=4×40 cmP = 4 \times 40 \text{ cm}

    Area:

    A=(40 cm)2A = (40 \text{ cm})^2
  3. Calculate the perimeter and area.

    Perimeter:

    P=160 cmP = 160 \text{ cm}

    Area:

    A=1600 cm2A = 1600 \text{ cm}^2

    The perimeter of the square is 160 cm\boxed{\text{160 cm}} and the area is 1600 cm2\boxed{\text{1600 cm}^2}.


Part 42

34 cm\text{34 cm}

A rectangle has a length of 9 cm9 \text{ cm} and a breadth of 8 cm8 \text{ cm}. Find its perimeter and area.

  1. Write the formulas for the perimeter and area of a rectangle.

    For a rectangle with length ll and breadth bb:
    Perimeter (PP) = 2(l+b)2(l + b)
    Area (AA) = l×bl \times b

  2. Substitute the given values into the formulas.

    Given l=9 cml = 9 \text{ cm} and b=8 cmb = 8 \text{ cm}.
    Perimeter:

    P=2(9 cm+8 cm)P = 2(9 \text{ cm} + 8 \text{ cm})

    Area:

    A=9 cm×8 cmA = 9 \text{ cm} \times 8 \text{ cm}
  3. Calculate the perimeter.

    P=2(17 cm)P = 2(17 \text{ cm}) P=34 cmP = 34 \text{ cm}
  4. Calculate the area.

    A=72 cm2A = 72 \text{ cm}^2

    The perimeter of the rectangle is 34 cm\boxed{\text{34 cm}} and the area is 72 cm2\boxed{\text{72 cm}^2}.

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