Question

Lin and her brother each dreated a scale drawing of their backyard, but at different scles. lin used a scale of 1 inch to 1 foot. her brother used a scale of 1 inch to 1 yard

1. express the scales for the drawings without units

2.whose drawing is larger? how mnay times as large is it? explain or show your reasoning

Answer 1

Kindly check explanation

Explanation:

Given:

Lin's drawing = 1 inch to 1 foot

Brother's drawing = 1 inch to 1 yard

1.) express the scales for the drawings without units

Convert both foot and yard to inch

1 foot = 12 inches

1 yard = 36 inches

Hence,

Lin's drawing : 1 : 12

Brother's drawing : 1 : 36

2.) whose drawing is larger? how mnay times as large is it? explain or show your reasoning

Lin's drawing is larger, this is because in Lin's drawing every 12 inch in the actual drawing represents 1 inch in the scale drawing( model)

While the brother's drawing is smaller with 36 inches in the actual drawing represented as 1 inch in the scale drawing.

(1/12) ÷ (1/36)

1/12 * 36/ 1

= 36 / 12

= 3. ; 3 times larger