Question

The area of the green square is 9ft^2
. The area of the red square is 16ft^2
.

What is the length of side c?
Responses
A 5 ft5 ft
B 25 ft25 ft
C 81 ft81 ft
D 128 ft128 ft
E 256 ft256 ft

Answer 1

To find the length of side \( c \), we first need to find the side lengths of the green and red squares based on their areas.

1. The area of the green square is \( 9 \, \text{ft}^2 \).
- The side length \( a \) of the green square can be found using the formula for the area of a square:
\[
a^2 = \text{Area} \implies a^2 = 9 \implies a = \sqrt{9} = 3 \, \text{ft}
\]

2. The area of the red square is \( 16 \, \text{ft}^2 \).
- The side length \( b \) of the red square can be found similarly:
\[
b^2 = \text{Area} \implies b^2 = 16 \implies b = \sqrt{16} = 4 \, \text{ft}
\]

Now if we assume side \( c \) is the sum of the side lengths \( a \) and \( b \):

\[
c = a + b = 3 \, \text{ft} + 4 \, \text{ft} = 7 \, \text{ft}
\]

Since none of the provided options (A: 5 ft, B: 25 ft, C: 81 ft, D: 128 ft, E: 256 ft) match \( c = 7 \, \text{ft} \), it appears there might be additional context needed regarding how side \( c \) is defined.

If you have further clarification on how to relate \( c \) to the squares, please provide more details!