7.4 homework packet

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Day 2
Name:______________________________________
Date:_____________Core:_____
Perimeter and Ratio Word Problems Homework
1. The length of a rectangle is equal to triple the width. I the perimeter is 86 centimeters, what is the length and
width of this rectangle?
2. The perimeter of a rectangular wooden deck is 90 feet. The deck's length, l, is 5 feet less than 4 times its width,
w. What is the length and the width of this deck in feet?
3. A rectangle has a perimeter of 42 and the length is 5 less than the width. What are the dimensions of the
rectangle?
4. Suppose the ratio of girls to boys in your school is 19 to 17. There are 1,908 students all together. How many
boys and girls are in your school?
5. You buy a bag of hard candy that only has two flavors, grape and cherry. If the ratio of grape to cherry candies is
17 to 13, how many grape and cheery flavored candies are there if there are 150 candies all together?
6. The parking lot at your high school can fit 650 cars and buses. If the ratio of car to bus spaces is 11 to 119, how
many cars and buses can fit in the parking lot?
Day 3
Name:______________________________________
Date:_____________Core:_____
Motion Word problems
1. On a canoe trip, Rita paddled upstream against the current at an average speed of 2 mi/h relative
to the riverbank. On the return trip downstream with the current, her average speed was 3 mi/h.
Find Rita’s paddling speed in still water and the speed of the river’s current.
2. A light plane flew from its home base to an airport 255 miles away. With a head wind, the trip took 1.7 hours.
The return trip with a tail wind took 1.5 hours. Find the average airspeed of the plane and the
average windspeed.
3. While on vacation, Kevin went for a swim in a nearby lake. Swimming against the current, it took him 8 minutes
to swim 200 meters. Swimming back to shore with the current took half as long. Find Kevin’s average swimming
speed and the speed of the lake’s current.
4. Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip the plane only averaged 112
km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.
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