Question

A rectangle has a length of 25 cm and a width of 12.25 cm. A larger, similar rectangle has width 49 cm. What is the length of the larger rectangle?(1 point) Responses

Answer 1

To find the length of the larger rectangle, we can set up a proportion using the ratios of the corresponding sides.

The ratio of the length to width in the smaller rectangle is 25 cm / 12.25 cm = 2.04 cm/cm.

The ratio of the length to width in the larger rectangle is unknown cm / 49 cm.

Setting up the proportion, we have:

2.04 cm/cm = unknown cm / 49 cm.

To find the unknown length, we can cross-multiply:

2.04 cm/cm * 49 cm = unknown cm.

Simplifying, we get:

(2.04)(49) cm = unknown cm.

The product of 2.04 and 49 is 99.96, so the length of the larger rectangle is approximately 99.96 cm.