Question

A rectangle has an area limit of 5.2 cm and an area of 44.625 cm². What dimensions must the rectangle have?

a) 8.5 cm x 5.25 cm
b) 10.5 cm x 4.25 cm
c) 11.5 cm x 3.9 cm
d) 9.5 cm x 4.7 cm

Answer 1

The dimensions of the rectangle are 8.5 cm x 5.25 cm.

Step-by-step explanation:

To find the dimensions of the rectangle, we need to find the length and the width. The area of a rectangle is given by the formula A = length * width. Since the area is 44.625 cm² and the area limit is 5.2 cm², we can set up the equation as 44.625 = length * width. To find the dimensions, we need to find two numbers that multiply to 44.625 and have a product limit of 5.2. Checking the options given, the dimensions that satisfy these conditions are 8.5 cm x 5.25 cm, so the answer is option a) 8.5 cm x 5.25 cm.