Question

accelerated 6 unit 4 section c checkpoint 1. a square has a side length of 15 centimeters. select all expressions that represent the area of the square in square centimeters: a (15^2) b (15 cdot 15) c (15 + 15) d (15 cdot 2) e (152)

Explanation:

Step1: Recall the formula for the area of a square

The area \( A \) of a square with side length \( s \) is given by \( A = s^2 \). Here, the side length \( s = 15 \) centimeters. So the area should be \( 15^2 \) (which is the same as \( 15\times15 \) or \( 15\cdot15 \)) and also \( 15^2 \) can be written as \( 15\times15 \), and \( 15^2=225 \), also \( 15\times15 = 225 \), \( 15\cdot15=225 \). Let's check each option:

• Option A: \( 15^2 \) is the formula for the area of the square with side 15, so this is correct.
• Option B: \( 15\cdot15 \) is the same as \( 15^2 \), so this is correct.
• Option C: \( 15 + 15=30

eq225 \), so this is incorrect.

• Option D: \( 15\cdot2 = 30

eq225 \), so this is incorrect.

• Option E: \( 15^2 \) (assuming it's a typo and same as A) is correct, but let's confirm the notation. If E is \( 15^2 \), then it's correct. Wait, looking at the options, A is \( 15^2 \), E is \( 15^2 \)? Wait, maybe the original problem has E as \( 15^2 \) (maybe a typo in the image). Wait, no, let's re - check. Wait, the side length is 15, area is \( 15\times15=15^2 = 225 \). So:
• A: \( 15^2 \) is correct.
• B: \( 15\cdot15 \) is correct.
• E: If E is \( 15^2 \) (maybe a typo in the image, like same as A), but let's check the original options. Wait, maybe the user's image has E as \( 15^2 \) (maybe a formatting issue). Wait, the area of the square is \( 15\times15 = 15^2=15\cdot15 \). So the correct options are A, B, and if E is \( 15^2 \) (assuming the typo), but let's go with the given options:

Wait, the area of the square with side 15 is \( A = 15\times15=15^2 = 15\cdot15 \). So:

• A: \( 15^2 \) is correct.
• B: \( 15\cdot15 \) is correct.
• E: If E is \( 15^2 \) (maybe a typo, like the same as A), but in the options, A is \( 15^2 \), B is \( 15\cdot15 \), and maybe E is also \( 15^2 \) (if it's a typo). But let's check the calculations:
• A: \( 15^2=225 \) (correct).
• B: \( 15\cdot15 = 225 \) (correct).
• E: If E is \( 15^2 \) (assuming the typo), then it's correct. But maybe the original problem has E as \( 15^2 \). Wait, maybe the user made a typo, but based on the formula, the correct expressions are \( 15^2 \) (A), \( 15\cdot15 \) (B), and if E is \( 15^2 \) (same as A). But let's proceed with the given options.

Answer:

A. \( 15^2 \), B. \( 15\cdot15 \), E. \( 15^2 \) (assuming E is a typo and should be \( 15^2 \))