Question

what is the perimeter of rectangle pqrs? type the number in the box. units

Explanation:

Step1: Find the length and width of the rectangle

From the coordinates, the length of the base (horizontal side) can be found by the difference in x - coordinates of points P(4,1) and S(8,1). So length \( l=8 - 4=4\) units. The height (vertical side) can be found by the difference in y - coordinates of points P(4,1) and Q(4,7). So height \( w = 7-1 = 6\) units.

Step2: Use the formula for the perimeter of a rectangle

The formula for the perimeter \( P\) of a rectangle is \( P = 2(l + w)\). Substitute \( l = 4\) and \( w=6\) into the formula: \( P=2(4 + 6)\). First, calculate the sum inside the parentheses: \( 4+6 = 10\). Then multiply by 2: \( 2\times10=20\).

Answer:

20