Question

jack draws a square with side length 15 centimeters and paul draws a square with area 256 square centimeters. which person drew the larger square? explain. choose the correct answers. select choice drew the larger square because his square has a side length of select choice centimeters, which is greater than select choice centimeters.

Explanation:

Step1: Find Paul's square side length

The area of a square is \( A = s^2 \), where \( s \) is the side length. For Paul's square, \( A = 256 \) cm². So we solve \( s^2 = 256 \). Taking the square root, \( s=\sqrt{256}=16 \) cm.

Step2: Compare side lengths

Jack's square has a side length of 15 cm. Paul's square has a side length of 16 cm. Since \( 16>15 \), Paul's square is larger.

Answer:

Paul drew the larger square because his square has a side length of 16 centimeters, which is greater than 15 centimeters.