The blueprint of a rectangular fountain shows that the length will be 7 feet longer than twice it's width. The area of the rectangular fountain is 85 feet squared.
Part A
Which equation represents the area of the fountain?

A
(w)(w+7) = 85
B
(w)(2w−7)=85
C
(w+7)(2w)=85
D
(w)(2x+7)=85

The equation that represents the area is (7 + 2W)(W) = 85

Step-by-step explanation:

Given

Length = 7 ft longer than twice its Width

Area = 85 ft²

Required

Expression for area of the fountain

Let L represent the length of the fountain

Let W represent the width of the fountain

and

Let A represent the area of the fountain

The expected length is said to be 7 ft longer than twice its Width

We'll break this statement into bits and represent it mathematically, as follows:

twice its Width means 2 * W

7 ft longer than means 7 +

Combining these together; it gives

= 7 + 2 * W

= 7 + 2W

Hence,

L = 7 + 2W

Recall that the area of a rectangle is calculated using the following formula

Area = Length * Width

This formula is represented mathematically as follows:

A = L * W

By substituting 85 for A and 7 + 2W for L, we have

85 = (7 + 2W) * W

85 = (7 + 2W)(W)

Re order

(7 + 2W)(W) = 85

Hence, the equation that represents the area is (7 + 2W)(W) = 85

- "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."