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Calculate the area of two shapes, A and B, and their total area. Shape A is a rectangle (12 cm x 7 cm) and Shape B is a square (12 cm side).

Mathematics

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Step-by-step solution

3 steps
  1. Calculate the area of shape A.

    Shape A is a rectangle with a length of 12 cm and a width of 7 cm.
    The formula for the area of a rectangle is A=length×widthA = \text{length} \times \text{width}.

    AA=12 cm×7 cmA_A = 12\, \text{cm} \times 7\, \text{cm} AA=84 cm2A_A = 84\, \text{cm}^2
  2. Calculate the area of shape B.

    Shape B is a square with a side length of 12 cm.
    The formula for the area of a square is A=side×sideA = \text{side} \times \text{side}.

    AB=12 cm×12 cmA_B = 12\, \text{cm} \times 12\, \text{cm} AB=144 cm2A_B = 144\, \text{cm}^2
  3. Calculate the total area.

    The total area is the sum of the area of shape A and the area of shape B.

    Atotal=AA+ABA_{\text{total}} = A_A + A_B Atotal=84 cm2+144 cm2A_{\text{total}} = 84\, \text{cm}^2 + 144\, \text{cm}^2 Atotal=228 cm2A_{\text{total}} = 228\, \text{cm}^2

    The area of shape A is 84 cm2\boxed{\text{84 cm}^2}.
    The area of shape B is 144 cm2\boxed{\text{144 cm}^2}.
    The total area is 228 cm2\boxed{\text{228 cm}^2}.

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