A rectangle has an area of 60 cm2. Its width is 7 cm less than its length. (a) Let x cm be the length of the rectangle. Write an equation using the rectangle's area. (b) Solve your equation for x (c) Find the dimensions of the rectangle.

(a)

              (b) x = 12 or x = -5

              (c) Length = 12cm

                   Width = 5cm

Step-by-step explanation: Area of a rectangle is calculated as:

A = length*width

(a) If length = x,

width = x - 7

Then, equation is:

A = x(x - 7)

(b) Solving for x:

Using Bhaskara to solve equation:

= 12

= -5

The quadratic equation gives two values for x: x = 12 or x = -5

(c) Dimensions are positive numbers, so the value of x used is x = 12.

As length is x:

length = 12cm

Width is 7 less than length:

width = x - 7

width = 5cm

The rectangle has length of 12cm and width of 5cm.

i hope this is what you were looking for.

see attached graph

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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