Question

A skate park consists of two adjacent rectangular regions. What is the perimeter and the area of the park?

Answer 1

Answer:

Part 1) The perimeter of the park is $P=52\ yd$

Part 2) The area of the park is $A=137\ yd^2$

Step-by-step explanation:

see the attached figure to better understand the problem

Part 1) Find the perimeter pf the park

we know that

The perimeter of the figure is the sum of its six length sides (see the figure)

so

$P=17+5+4+4+(17-4)+9\\P=52\ yd$

Part 2) Find the area of the park

The area of the park is equal to the area of two rectangles

The area of rectangle is equal to

$A=bh$

substitute the values

$A=13(9)+4(5)$

$A=117+20$

$A=137\ yd^2$