Question

a rectangle has an area of 63 square units. which statement could describe this rectangle? a. the rectangle has a length of 9 units and a width of 6 units. b. the rectangle has a length of 9 units and a width of 7 units. c. the rectangle has a length of 9 units and a width of 9 units. d. the rectangle has a length of 8 units and a width of 7 units.

Explanation:

Step1: Recall the area formula for a rectangle

The area of a rectangle is calculated by the formula \( A = l \times w \), where \( l \) is the length and \( w \) is the width.

Step2: Calculate the area for each option

• For option A: \( l = 9 \), \( w = 6 \), so \( A = 9 \times 6 = 54 \) square units (not 63).
• For option B: \( l = 9 \), \( w = 7 \), so \( A = 9 \times 7 = 63 \) square units (matches the given area).
• For option C: \( l = 9 \), \( w = 9 \), so \( A = 9 \times 9 = 81 \) square units (not 63).
• For option D: \( l = 8 \), \( w = 7 \), so \( A = 8 \times 7 = 56 \) square units (not 63).

Answer:

B. The rectangle has a length of 9 units and a width of 7 units.