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

OD

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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:

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