Question

Erin created a scale drawing for a garden that will be 10 ft by 5 ft. She plans to include a section in the garden for herbs, which will be 2 ft by 5 ft. On Erin’s scale drawing, the entire garden is 12 in. by 6 in. What are the dimensions of the herb garden on the scale drawing?

Answer 1

The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in

Explanation:

we know that

The dimensions of the garden in the actual are 10 ft by 5 ft

The dimensions of the garden on the scale drawing are 12 in. by 6 in

step 1

Find the scale factor

To find the scale factor divide the corresponding side on the scale drawing by the corresponding side in the actual

so

`(12)/(10)\ (in)/(ft)`

simplify

`1.2\ (in)/(ft)`

That means

1.2 inches in the drawing represent 1 foot in the actual

step 2

Find out the dimensions of the herb garden on the scale drawing

we know that

The dimensions of the herb garden in the actual are 2 ft by 5 ft

Multiply by the scale factor

so

`2\ ft=2(1.2)=2.4\ in`

`5\ ft=5(1.2)=6\ in`

therefore

The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in