Question

which rectangle has an area of 18 square units?

Explanation:

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

The length of the rectangle in the first option is \(5\) units (from \(x = - 5\) to \(x=0\)) and the width is \(2\) units (from \(y=-2\) to \(y = 0\)).
The area \(A_1=5\times2 = 10\) square units.

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

The length of the rectangle in the second option is \(7\) units (from \(x=-3\) to \(x = 4\)) and the width is \(1\) unit (from \(y = 0\) to \(y=-1\)).
The area \(A_2=7\times1=7\) square units.

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

The length of the rectangle in the third option is \(4\) units (from \(x=-4\) to \(x = 0\)) and the width is \(2\) units (from \(y=-2\) to \(y = 0\)).
The area \(A_3=4\times2 = 8\) square units.

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

The length of the rectangle in the fourth option is \(6\) units (from \(x=-3\) to \(x = 3\)) and the width is \(3\) units (from \(y=-2\) to \(y = 1\)).
The area \(A_4=6\times3=18\) square units.

Answer:

The fourth rectangle has an area of \(18\) square units.