The floor of a rectangular banquet hall has an area of 3,600 m². the length is 90 m.
a. what is the width of the banquet hall?
b. a square banquet hall has the same area. what is the length of the room?
c. a third rectangular banquet hall has a perimeter of 3,600 m. what is the width if the length is 5 times the width?

we know,

in rectangle

area(a)=l*b

(a)so width (b)=a/l

=3600 m^2/90 m

=40m

(b) in square,

area(a)=l^2

or,3600 m^2=l^2

or,(60m)^2=l^2

cancelling square

length (l)=60m

(c) perimeter =2 (l+b)

let width be x so l is rd

or,3600m=2 (x+5x)

or,3600m/2=6x

or,1800m/6=x

or,300m=x (width) and length =5*x

Part a) The width of the rectangular banquet hall is 40 m

Part b) The length of the square room is 60 m

Part c) The width of the third rectangular banquet hall is 300 m

Step-by-step explanation:

Part a) What is the width of the banquet hall?

Let

L ----> the length of the rectangular banquet hall

W ---> the width of the rectangular banquet hall

we know that

The area of a rectangle is equal to

we have

substitute the values and solve for W

therefore

The width of the rectangular banquet hall is 40 m

Part b) A square banquet hall has the same area. What is the length of the room?

we know that

The area of a square is

we have

substitute and solve for L

take the square root both sides

therefore

The length of the square room is 60 m

Part c) A third rectangular banquet hall has a perimeter of 3,600 m. What is the width if the length is 5 times the width?

Let

L ----> the length of the third rectangular banquet hall

W ---> the width of the third rectangular banquet hall

we know that

The perimeter of a rectangle is equal to

simplify

-----> equation A

------> equation B

substitute equation B in equation A and solve for W

therefore

The width of the third rectangular banquet hall is 300 m

24/56=hx^7

step-by-step explanation:

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)