Question

The table shows the length and width of proportional rectangles. Length (in inches) 6 9 18 24 Width (in inches) 10 15 30 40 Using the table, find the width of a rectangle that has a length of 42. 45 50 60 70

Answer 1

70 inches

Explanation:

By setting up a table and then dividing the width by the length, we can find that the ratio (proportion) is the same for all the proportional rectangles. See attached table.

The ratio is 1.67. Use that same ratio to find the missing side (the width, W) of the rectangle that has a length of 42 inches.

We know that W/L is the same for all proportional rectangles, so we can say:

W/L = 1.67

Since L = 43 inches,

W/32 = 1.67

W = 70 inches