Here is the whole floor that Zahra’s office is on. Each room is a scaled copy of every other room. The scale for this blueprint is `6` cm to `15` ft. Determine the ACTUAL AREA of the room with the question mark. Hint: Determine as many lengths as possible.
Answers
Answer:
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Step-by-step explanation:
Zahra's office is made of several rooms each one of which is a scaled copy of the others.
We have the complete dimensions of one of them and it's evident that the lengths of the rooms are twice the width.
With this information, we'll find the area of the room with the question mark.
We have added some dimensions marked with additional variables.
The room with 8 cm of width has a length of y. Since all lengths are twice the widths, y=16 cm.
The room with 8 cm length has width z which is half of the length, z=4 cm.
The room with dimensions u and w has a length of y+z=20 cm. Thus w=20 cm. The width u is half of w, thus u=10 cm.
The length of the room with the question mark is x, and x = 8 cm + u = 18 cm
The width of that room is half of x, v=9 cm.
The area is 9 * 18 = 162
T H A N K Y O U ❤️ ❤️ ❤️ ❤️ ❤️
Given : each room is a scaled copy of another
The scale for this blueprint is `6` cm to `15` ft.
To Find : the ACTUAL AREA of the room with the question mark
Solution:
one room is 2 by 4
each room is a scaled copy of another
Hence ratio of sides is 1 : 2
one room will be 8 by 16
one room will be 8 by 4
16 + 4 = 20
Hence one room will be 10 by 20
10 + 8 = 18
Hence room with Question mark will be 18 by 9
18 cm by 9 cm
= 3 * 6cm by 1.5 * 6 cm
= 3 * 15ft by 1.5 * 15 ft
= 1012.5 sq feet
ACTUAL AREA of the room with the question mark. = 1012
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