The area of a rectangle is 48 cm² and the length of the rectangle is 8 cm longer than the width. the area of a rectangle is found by multiplying the length times the width. during the set up step of the five-step problem-solving plan, which equation would you set up to solve for the width?
a. w(w+8)=48
b. w + 8 = 48
c. w + 8w = 48
d. 8w = 48

Option A.

Step-by-step explanation:

Let the length of a rectangle is l and width of the rectangle is w,

Then as per statement " Length of the rectangle is 8 cm longer than the width"

l = w + 8

Now we know area of a rectangle is represented by the formula

Area = Length × width

Area = l × w

        = (w + 8)w

Area of the rectangle has been given as 48 cm² then the formula will be

w(w + 8) = 48

Option A is the answer.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."