Let
x---------> the length of the rectangle
y--------> the width of the rectangle

we know that
A=84 ft²
[area of rectangle]=x*y-----> 84=x*y-----> equation 1
x=y-5------> equation 2
substitute 2 in 1
84=[y-5]*y-----> 84=y²-5y---------> y²-5y-84=0

using a graph tool-----> to resolve the second order equation
see the attached figure

the solution is
y=12
x=y-5-----> x=12-5-----> x=7

the answer is
the length of the rectangle is 7 ft
the width of the rectangle is 12 ft

6 0

3 years ago

can somebody please write what are the rules for multiplying integers and the rules for dividing integers in a short answer?

arsen [322]

Answer:

Negative + Negative = Positive

Negative + Positive = Negative

Positive + Negative = Negative

Positive + Positive = Negative

The rules are the same for division.

Step-by-step explanation:

4 0

3 years ago

X is six more than four times the value of y.

Oksana_A [137]

Therefore
(4y+6) +y = 46

We can combine the like terms:
5y + 6 = 46

Subtract 6 on both sides:

5y+6-6=46-6

Therefore 5y =40

Divide by 5 on both sides

5y/5 = 40/5

Therefore

y= 8
We found y but to find the value x we use y.

X= 4y+6

Therefore
x= (4*8)+ 6

Therefore

x= 32 + 6

x= 38.

7 0

3 years ago

Read 2 more answers

A rose garden is designed by joining a rectangle and a semicircle, as shown below. The rectangle is

damaskus [11]

Add 20ft+16ft=36ft+3.14=3.50 this is the correct answer

7 0

4 years ago