Question

perimeter & area of rectangles
18
2
click on the rectangle below that has the same area as the above rectangle, but has a perimeter of 26 units.
9
4
7
6
6
6
12
3

Explanation:

Step1: Calculate area of top rectangle

The top rectangle has length \( 18 \) and width \( 2 \). The area of a rectangle is \( A = l \times w \), so \( A = 18 \times 2 = 36 \).

Step2: Check area and perimeter of each option

• First option (9, 4): Area \( = 9 \times 4 = 36 \). Perimeter \( = 2\times(9 + 4)=2\times13 = 26 \). This matches.
• Second option (7, 6): Area \( = 7 \times 6 = 42

eq 36 \). Eliminate.

• Third option (6, 6): Area \( = 6 \times 6 = 36 \). Perimeter \( = 2\times(6 + 6)=24

eq 26 \). Eliminate.

• Fourth option (12, 3): Area \( = 12 \times 3 = 36 \). Perimeter \( = 2\times(12 + 3)=30

eq 26 \). Eliminate.

Answer:

The rectangle with length 9 and width 4 (the first rectangle below the top one)