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chapter6.1b
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àï6.1èU. S. Measurements of Length.
äèPlease convert the following U. S. Measurements of
êê Length.
âêêïConvert 30 in. to ______ ft.
#ê 12 in.ê30 in.ë┌─¥ë12 ∙ xè=è30
#ê ──────è=è──────ë│
#êï1 ft.ê x ft.ë│êëxè=è30/12
#êêêêè │êëxè=è2 1/2 ft.
#êï12 ∙ xè=è1 ∙ 30è─┘
éSThe U. S. Measurements of length are inch, foot, yard, and
mile.ïThe equivalencies between ç units of length are as follows:
êêè12 inches (in.)è=è1 foot (ft.)
êêêë 3 ft.è=è1 yard (yd.)
êêêë36 in.è=è1 yd.
êêêè5280 ft.è=è1 mile (mi.)
In order to convert 30 in. to feet, you should set up a proportion
involving the equivalence, "12 in.è=ï1 ft."
êêêë12 in.ê30 in.
#êêêë──────è=è─────
êêêê1 ft.êx ft.
Note that the equivalence forms a Rate on the left side of the
Proportion. Next, you should drop the units and solve the Proportion.
êêêê 12ê30
#êêêê ──è=è──
êêêêï1ê x
êêêë12 ∙ xè=è1 ∙ 30
êêêë12 ∙ xè=è30
êêêêèxè=è30/12
êêêêèxè=è2.5èorï2 1/2
Finally, the unit for "x" is put back in the answer.ïxè=è2.5 feet
1
êêê Convert 8 ft. to _____ in.
ë A)ï76 in.ê B)ï96 in.ê C)ï84 in.ê D)ïå
üêêë12 in.êïx in.
#êêêè ──────è =è ─────
êêêë1 ft.êè8 ft.
êêêè 12 ∙ 8è =è 1 ∙ x
êêêê 96è =è x
êêêêx is equal to 96 in.
Ç B
2
êêê Convert 84 in. to _____ ft.
ë A)ï10 ft.ê B)ï9 ft.êïC)ï7 ft.êïD)ïå
üêêë12 in.êï84 in.
#êêêè ──────è =è ──────
êêêë1 ft.êèx ft.
êêêè 12 ∙ xè =è 1 ∙ 84
êêêè 12 ∙ xè =è 84
êêêêïxè =è 84/12
êêêêïxè =è 7 ft.
Ç C
3êêêè1
#êêê Convertï6 ─ yd.ïto _____ ft.
êêêêë2
êë 1êêêêê1
#ë A)ï19 ─ ft.ë B)ï17 ft.ê C)ï18 ─ ft.ë D)ïå
êë 2êêêêê2
üêêë 3 ft.êè x ft.
#êêêè ──────è =è ────────
êêêë1 yd.êï6 1/2 yd.
êêêï3 ∙ 13/2è =è 1 ∙ x
êêêë 39/2è =è x
êêê19 1/2 ft.è =è x
Ç A
4
êêê Convertï3 yd.ïto _____ in.
ë A)ï124 in.êB)ï108 in.êC)ï96 in.ê D)ïå
üêêë 1 yd.êè3 yd.
#êêêè ──────è =è ──────
êêêè 36 in.êèx in.
êêêë1 ∙ xè =è 36 ∙ 3
êêêêïxè =è 108
êêêêïxè =è 108 in.
Ç B
5
êêê Convertï80 in.ïto _____ yd.
ë A)ï2 1/2 yd.ëB)ï3 yd.êïC)ï2 2/9 yd.ëD)ïå
üêêë36 in.êï80 in.
#êêêè ──────è =è ──────
êêêë1 yd.êèx yd.
êêêè 36 ∙ xè =è 1 ∙ 80
êêêè 36 ∙ xè =è 80
êêêêïxè =è 80/36
êêêêïxè =è 2 2/9 yd.
Ç C
6êêêè3
#êêê Convertï1 ─ mi.ïto _____ ft.
êêêêë4
ë A)ï9240 ft.ë B)ï8670 ft.ë C)ï6485 ft.ë D)ïå
üêêè5280 ft.êèx ft.
#êêêï────────è =è ────────
êêêè 1 mi.êè1 3/4 mi.
êêêêêêè .
êêê5280 ∙ 7/4è =è 1 ∙ x
êêêï36960∙/4è =è x
êêêë 9240è =è x
êêêï9240 ft.è =è x
Ç A
7êêêè3
#êêê Convertï2 ─ ft.ïto _____ in.
êêêêë4
ë A)ï38 in.ê B)ï36 in.ê C)ï33 in.ê D)ïå
üêêë 1 ft.êï2 3/4 ft.
#êêêè ──────è =è ─────────
êêêè 12 in.êëx in.
êêêë1 ∙ xè =è 12 ∙ 11/4
êêêêïxè =è 132/4
êêêêïxè =è 33
êêêêïxè =è 33 in.
Ç C
8êêêè2
#êêê Convertï7 ─ yd.ïto _____ ft.
êêêêë3
ë A)ï25 ft.ê B)ï23 ft.ê C)ï24 ft.ê D)ïå
üêêë 1 yd.êï7 2/3 yd.
#êêêè ──────è =è ─────────
êêêë3 ft.êëx ft.
êêêë1 ∙ xè =è 3 ∙ 23/3
êêêêïxè =è 69/3
êêêêïxè =è 23
êêêêïxè =è 23 ft.
Ç B
9êëAddë4 yd. 2 ft.
êêêë+ï2 yd. 2 ft.
#êêêê ───────────
ë A)ï8 yd. 2 ft.èB)ï7 yd. 1 ft.èC)ï6 yd. 4 ft.èD)ïå
ü
êêêêï4 yd. 2 ft.
êêêë +ï2 yd. 2 ft.
#êêêêï───────────
êêêêï6 yd. 4 ft.è=è7 yd. 1 ft.
Ç B
10êè Addë12 ft. 8 in.
êêêë+è3 ft. 9 in.
#êêêê ───────────
ëA)ï16ft. 5 in.èB)ï17 ft. 1 in.èC)ï15 ft. 11 in.èD)ïå
ü
êêêê 12 ft. 8 in.
êêêë +ï3 ft. 9 in.
#êêêêï───────────
êêêê 15 ft. 17 in.è=è16 ft. 5 in.
Ç A