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The diagram shows rectangle ABCD - OCR - GCSE Maths - Question 20 - 2021 - Paper 3

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Question 20

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The diagram shows rectangle ABCD. DB = 13 cm and BC = 5 cm. Calculate the area of the rectangle. You must show your working.

Worked Solution & Example Answer:The diagram shows rectangle ABCD - OCR - GCSE Maths - Question 20 - 2021 - Paper 3

Step 1

Calculate the Length of the Rectangle

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Answer

Given that BC = 5 cm, we can deduce that AB also equals 5 cm since opposite sides of a rectangle are equal.

Step 2

Calculate the Width of the Rectangle

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Answer

Similarly, we have DB = 13 cm, which indicates that AD = 13 cm as well.

Step 3

Calculate the Area of the Rectangle

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Answer

The area of a rectangle is calculated using the formula:

Area=LengthimesWidthArea = Length imes Width

Substituting the values we found:

Area=13extcmimes5extcm=65extcm2Area = 13 ext{ cm} imes 5 ext{ cm} = 65 ext{ cm}^2

Therefore, the area of rectangle ABCD is 65 cm².

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