2 years ago

The floor plan of a ballroom is shown at right. The scale is 3 centimeters : 4 meters.

1 answer:

6 0

Given:
scale: 3 cm : 4 m
Length 12 cm
Width 9 cm

We need to convert cm to m.
length: 12cm / 3cm * 4m = 4 * 4m = 16 meters
width: 9cm / 3cm * 4m = 3 * 4m = 12 meters

Area = length * width
Area = 16 m * 12 m
Area = 192m²

Area in cm: 12 cm * 9 cm
Area in cm: 108 cm²

cm : m ⇒ ratio format

ratio: a:b = c:d where ad = bc

108 : 192 = 12² : 16²
108 : 192 = 144 : 256

a = 108 ; b = 192 ; c = 144 ; d = 256

108 * 256 = 192 * 144
27,648 = 27,648

You might be interested in

Complete the factorization.

lyudmila [28]

If you would like to complete the factorization, you can do this using the following steps:

<span>4p^2 + 36p + 81 = (2p + 9) * (2p + 9) = (2p + 9)^2
</span>
The correct result would be 9.

6 0

3 years ago

Can someone please help me with this question ,

ollegr [7]

(x+6)(x+9) = 0
x+6 = 0 or x+9 = 0
x = -6 x = -9

Answer is A. -6 and -9

8 0

2 years ago

Josie buys a necklace for $24 which is 80% off. How much was the full price of the necklace

Sedbober [7]

Answer:

4.8

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Hector and Francis spent a total of $47.50 at the mall. If Hector spent 50% more than Francis, how much did Francis spend at the

AveGali [126]

The answer i got was 23.75 hope this helps

6 0

2 years ago

Find the vertex of: y=6(x-1)2-8<br> (x,y)

Pepsi [2]

$\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
y=a(x-{{ h}})^2+{{ k}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad vertex\ ({{ h}},{{ k}})\\\\
-----------------------------\\\\
\begin{array}{lllcll}
y=&6(x-&1)^2&-8\\
&\uparrow &\uparrow &\uparrow \\
&a&h&k
\end{array}$

5 0

2 years ago