Question

what are the area and perimeter of rectangle efgh? area = square units perimeter = units

Explanation:

Step1: Find the length and width of the rectangle

From the graph, the coordinates of the points: \( E(5,1) \), \( F(5, - 2) \), \( G(10,-2) \), \( H(10,1) \). The length of \( EF \) (vertical side) is the difference in y - coordinates: \( |1-(-2)|=3 \). The length of \( EH \) (horizontal side) is the difference in x - coordinates: \( |10 - 5|=5 \).

Step2: Calculate the area of the rectangle

The formula for the area of a rectangle is \( A=\text{length}\times\text{width} \). Here, length \( l = 5 \) and width \( w=3 \). So \( A = 5\times3=15 \) square units.

Step3: Calculate the perimeter of the rectangle

The formula for the perimeter of a rectangle is \( P = 2\times(\text{length}+\text{width}) \). Substituting \( l = 5 \) and \( w = 3 \), we get \( P=2\times(5 + 3)=2\times8 = 16 \) units.

Answer:

Area = 15 square units, Perimeter = 16 units