Darcy is supplied with a diagram of a beam that is 4 cm deep, 15 cm wide, and 1.4 m long. Darcy is told to make a a) second beam for another project by enlarging the size of the first beam by a scale of 1:25. What would be the measurements of the second The old dimensions beam?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 13E
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Please answer (b)
8. Darcy is a welder who has been supplied with diagrams of the rectangular
bridge beams that she will make a
Pratt truss bridge.
a)
diagram of a beam that is 4 cm
deep, 15 cm wide, and 1.4 m
long. Darcy is told to make a
Darcy is supplied with a
second beam for another
project by enlarging the size of
the first beam by a scale of 1:25.
What would be the
measurements of the second
The old dimensions of the beam are:
Depth = 4Cm
Width = 15Cm
Length = 1.4M = 140Cm
The newer dimensions are made by enlarging it in the ratio of
1: 25
The newer dimensions are :
Let the new depth be 'd', new length = 1, new width = w
4/d = 1/25, => d= 4 x 25 = 100 Cm
15/w = 1/24,=> w= 15 x 25 = 375Cm
140/L = 1/25, => L= 140 x 25 =,3500Cm = 35m
beam?
b)
Darcy is given á scale diagram of the completed truss bridge. Each
vertical beam in the scale diagram is 3.5 cm long. If each beam was
drawn by reducing the dimensions of the first beam in a), what scale was
used?
Transcribed Image Text:8. Darcy is a welder who has been supplied with diagrams of the rectangular bridge beams that she will make a Pratt truss bridge. a) diagram of a beam that is 4 cm deep, 15 cm wide, and 1.4 m long. Darcy is told to make a Darcy is supplied with a second beam for another project by enlarging the size of the first beam by a scale of 1:25. What would be the measurements of the second The old dimensions of the beam are: Depth = 4Cm Width = 15Cm Length = 1.4M = 140Cm The newer dimensions are made by enlarging it in the ratio of 1: 25 The newer dimensions are : Let the new depth be 'd', new length = 1, new width = w 4/d = 1/25, => d= 4 x 25 = 100 Cm 15/w = 1/24,=> w= 15 x 25 = 375Cm 140/L = 1/25, => L= 140 x 25 =,3500Cm = 35m beam? b) Darcy is given á scale diagram of the completed truss bridge. Each vertical beam in the scale diagram is 3.5 cm long. If each beam was drawn by reducing the dimensions of the first beam in a), what scale was used?
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