sdolina5
21.07.2019 •
Mathematics
Arectangle has a length of 4 feet and a perimeter of 14 feet. what is the perimeter of a similar rectangle with a width of 9 feet? a. 36 ft b. 108 ft c. 42 ft d. 126 ft
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Ответ:
Second Rectangle: P= ?, L= ?, W= 9
STEP 1:
solve for the width in the first rectangle using perimeter formula
Perimeter= 2L + 2W
14= 2(4) + 2W
14= 8 + 2W
subtract 8 from both sides
6= 2W
divide both sides by 2
3= W
STEP 2:
Since the two rectangles are similar, they may be different sizes, but they have corresponding angles. We can set up a ratio to compare width and length.
First Rectangle: P= 14, L= 4, W= 3
Second Rectangle: L= ?, W= 9
length/width= length/width
4/3= L/9
cross multiply
4 * 9= 3 * L
36= 3L
divide both sides by 3
12= L
STEP 3:
find perimeter of second rectangle; use length from step 2
Perimeter= 2L + 2W
=2(12) + 2(9)
=24 + 18
=42 feet
ANSWER: (C) 42 feet
Hope this helps! :)
Ответ:
c = 9.7
Step-by-step explanation:
Using the law of sines
sin 55 sin 82
=
8 c
Using cross products
c sin 55 = 8 sin 82
c = 8 sin 82 / sin 55
c=9.67115
To the nearest tenth
c = 9.7