Question

which figure has a greater area? 10.9 ft 17 ft 17.5 ft 18.9 ft submit

Explanation:

Step1: Calculate area of blue rectangle

The area of a rectangle is given by the formula \( A = l \times w \), where \( l \) is the length and \( w \) is the width. For the blue rectangle, \( l = 17 \) ft and \( w = 10.9 \) ft. So, \( A_{blue} = 17 \times 10.9 \). Calculating this, \( 17\times10.9 = 185.3 \) square feet.

Step2: Calculate area of pink rectangle

For the pink rectangle, \( l = 18.9 \) ft and \( w = 17.5 \) ft. Using the same area formula, \( A_{pink} = 18.9 \times 17.5 \). Calculating this, \( 18.9\times17.5 = 330.75 \) square feet.

Step3: Compare the two areas

Now we compare \( A_{blue} = 185.3 \) and \( A_{pink} = 330.75 \). Since \( 330.75>185.3 \), the pink rectangle (the second figure) has a greater area.

Answer:

The pink rectangle (with length 18.9 ft and width 17.5 ft) has a greater area.