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15. using the rectangle from question 13, if a=3 yd and the area is 24 …

Question

  1. using the rectangle from question 13, if a=3 yd and the area is 24 yd², what is b? (a) if your answer is 8 yd color the arms & legs purple. (b) if your answer is 9 yd color the arms & legs orange.

Explanation:

Step1: Recall the area formula for a rectangle

The area \( A \) of a rectangle is given by the formula \( A = a \times b \), where \( a \) and \( b \) are the length and width of the rectangle.

Step2: Substitute the known values into the formula

We know that \( A = 24 \, \text{yd}^2 \) and \( a = 3 \, \text{yd} \). Substituting these values into the formula \( A = a \times b \), we get \( 24 = 3 \times b \).

Step3: Solve for \( b \)

To find \( b \), we divide both sides of the equation \( 24 = 3 \times b \) by 3. So, \( b=\frac{24}{3} = 8 \, \text{yd} \).

Answer:

a. 8 yd