Mathematics, 26.09.2019 14:30 elizabethhubbe

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?

Answers: 1

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Answer from: carriganlee8688

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

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

Answer from: idonthaveausername

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

A=LW

we have

$A=3,600\ cm^2$

$L=90\ m$

substitute the values and solve for W

3,600=(90)W

W=3,600/(90)

$W=40\ m$

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

A=L^2

we have

$A=3,600\ cm^2$

substitute and solve for L

3,600=L^2

take the square root both sides

$L=60\ m$

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

P=2(L+W)

3,600=2(L+W)

simplify

1,800=(L+W) -----> equation A

L=5W ------> equation B

substitute equation B in equation A and solve for W

1,800=(5W+W)

1,800=6W

$W=300\ m$

therefore

The width of the third rectangular banquet hall is 300 m

Answer from: Quest

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

hope this !

~just a girl in love with shawn mendes

Answer from: Quest

ian gone lie this got me confused

step-by-step explanation:

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The floor of a rectangular banquet hall has an area of 3,600 m². the length is 90 m.
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