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6. a summer camp is building a rectangular wooden sign to post at the e…

Question

  1. a summer camp is building a rectangular wooden sign to post at the entrance of the camp. the dimensions of the sign are shown below. write an expression for the area of the sign. 7c⁴d⁵ 3cd³

Explanation:

Step1: Recall the formula for the area of a rectangle

The area \( A \) of a rectangle is given by the product of its length \( l \) and width \( w \), i.e., \( A = l \times w \).

Step2: Identify the length and width of the sign

From the diagram, the length of the rectangular sign is \( 7c^{4}d^{5} \) and the width is \( 3cd^{3} \).

Step3: Multiply the length and width

To find the area, we multiply these two expressions:

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Answer:

The expression for the area of the sign is \( 21c^{5}d^{8} \).