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25 August, 23:48

A square of area 36 cm² is cut to make two rectangles, A and B.

OD

-

-

-

Area = 36 cm?

The ratio of area A to area B is 2:1

Work out the dimensions of rectangles A and B.

Rectangle A

Rectangle B

Length:

Length:

5

cm

Width:

cm

Width:

+1
Answers (1)
  1. 26 August, 02:36
    0
    Rectangle A: 6cm * 4cm

    Rectangle B: 6cm * 2cm

    Step-by-step explanation:

    Area of square = side² = 36 cm²

    Each side = 6 cm

    When you cut a square to form rectangles, length is equal to the side of the square but the width changes.

    Area of rectangle A = ⅔ (36) = 24

    Rectangle A: length = 6 cm

    Area = 24 = length * width

    24 = 6 * width

    width = 4cm

    Dimensions of A are 6*4

    Area of rectangle B = ⅓ (36) = 12

    Rectangle B: length = 6 cm

    Area = 12 = length * width

    12 = 6 * width

    width = 2 cm

    Dimensions of B are 6*2
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