Question

A rectangle has a height to width ratio of 3cm : 4.5cm

Give two examples of dimensions for rectangles that could be scaled versions of this rectangle.

Rectangle #1:

Rectangle #2:

Answer 1

Rectangle #1:

height = 3*2 cm = 6 cm

and width = 4.5*2 cm = 9 cm

Rectangle #2:

height = 3*1000 cm = 3000 cm

and width = 4.5*1000 cm = 4500 cm

Explanation:

Given ratio of height to width : 3cm : 4.5cm

Thus height and width will be of form 3x and 4.5x so that ratio is maintained.

where x is any positive value of x.

For rectangle 1 lets take value of x to be 2 for simplicity

Thus height = 3*2 cm = 6 cm

and width = 4.5*2 cm = 9 cm

For rectangle 2 lets take some higher value of x like 1000

Thus height = 3*1000 cm = 3000 cm

and width = 4.5*1000 cm = 4500 cm

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