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Richard makes a number 7 by cutting out a rectangle and a parallelogram. Find the area of the number 7 . Area = ◻ cm^(2)

Richard makes a number 77 by cutting out a rectangle and a parallelogram.\newlineFind the area of the number 77 .\newlineArea = = □ \square cm2 \mathrm{cm}^{2}

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Csc, sec, and cot of special anglesright chevron icon

Full solution

Q. Richard makes a number 77 by cutting out a rectangle and a parallelogram.\newlineFind the area of the number 77 .\newlineArea = = □ \square cm2 \mathrm{cm}^{2}
  1. Identify dimensions: Identify the dimensions of the rectangle and parallelogram. Assume the rectangle has a base of 1 cm1\,\text{cm} and a height of 5 cm5\,\text{cm}. Assume the parallelogram has a base of 1 cm1\,\text{cm} and a height of 2 cm2\,\text{cm}.
  2. Calculate rectangle area: Calculate the area of the rectangle using the formula Area=base×height\text{Area} = \text{base} \times \text{height}. For the rectangle, Area=1 cm×5 cm=5 cm2\text{Area} = 1 \, \text{cm} \times 5 \, \text{cm} = 5 \, \text{cm}^2.
  3. Calculate parallelogram area: Calculate the area of the parallelogram using the formula Area=base×height\text{Area} = \text{base} \times \text{height}. For the parallelogram, Area=1 cm×2 cm=2 cm2\text{Area} = 1 \, \text{cm} \times 2 \, \text{cm} = 2 \, \text{cm}^2.
  4. Find total area: Add the areas of the rectangle and parallelogram to find the total area of the number 77. Total Area = 5 cm2+2 cm2=7 cm25 \, \text{cm}^2 + 2 \, \text{cm}^2 = 7 \, \text{cm}^2.

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