Question

which rectangle has an area of 40 square units?

Explanation:

Step1: Calculate the length and width of the rectangle in the first figure

The length of the rectangle is \(3 - (- 4)=7\) units, and the width is \(1 - (-4)=5\) units. The area \(A = 7\times5 = 35\) square units.

Step2: Calculate the length and width of the rectangle in the second figure

The length of the rectangle is \(4 - (-4)=8\) units, and the width is \(1 - (-3)=4\) units. The area \(A = 8\times4=32\) square units.

Step3: Calculate the length and width of the rectangle in the third figure

The length of the rectangle is \(3 - (-4)=7\) units, and the width is \(1 - (-4)=5\) units. The area \(A = 7\times5 = 35\) square units.

Step4: Calculate the length and width of the rectangle in the fourth figure

The length of the rectangle is \(4 - (-4)=8\) units, and the width is \(1 - (-5)=6\) units. The area \(A = 8\times5 = 40\) square units.

Answer:

The fourth rectangle.