Question

what is the area of rectangle efgh? area = square units

Explanation:

Step1: Determine length of base

Count the grid - units along the base of the rectangle. The base of rectangle EFGH extends from \(x=- 8\) to \(x = 6\). The length of the base \(b=|6-(-8)| = 14\) units.

Step2: Determine length of height

Count the grid - units along the height of the rectangle. The height of rectangle EFGH extends from \(y=-1\) to \(y = 3\). The length of the height \(h=|3 - (-1)|=4\) units.

Step3: Calculate area of rectangle

Use the formula for the area of a rectangle \(A = b\times h\). Substitute \(b = 14\) and \(h = 4\) into the formula, so \(A=14\times4 = 56\) square units.

Answer:

56