Respect Responsibility
Readiness
1.
The
length of a rectangle is equal to twice the width. The perimeter is 138 feet.
What is the length (in feet) of the rectangle?
2.
A
rectangle has a length which is 4 feet less than three times the width. The
perimeter is 224 feet. Find the absolute value of the difference of the
dimensions?
3.
The
first angle of a triangle is twice the second, and the third is 5 degrees larger
than the first. Find the absolute value of the difference of the two largest
angles.
4.
The
length of one rectangle is two times the width. If the length is decreased by 5
feet and the width is increased by 5 feet, the area is increased by 75 square
feet. Find the absolute value of the difference of the length and width.
5.
The
first side of a triangle is 2 inches less than twice the second side. The third
side is 10 inches longer than the second side. If the perimeter is 12 feet, find
the absolute value of the difference of the two largest sides.
6.
The
length of a rectangular soccer field is 10 feet more than twice the width. The
perimeter is 320 feet. Find the length and width.
7. The second angle of a
triangle is 20° greater than the first angle. The third angle is twice the
second. Find the three angles.
8. A farmer wishes to fence a
rectangular area behind his barn. The barn forms one end of the rectangle, and
the length of the rectangle is three times the width. How many linear feet of
fence must the farmer buy if the perimeter of the rectangle is 320 feet?
9. The first side of a
triangle is twice the second, and the third side is 20 feet less than three
times the second. The perimeter of the triangle is 106 feet. Find the three
sides.
10. The length of a room is 8
feet more than twice the width. If it takes 124 feet of molding to go around the
perimeter of the room, what are the room’s dimensions?
11. The perimeter of a
triangular lawn is 42 yards. The first side is 5 yards less than the second, and
third side is 2 yards less than the first. What is the length of each side of
the lawn?
12. One side of a rectangular
metal plate is five times as long as the other side. If the perimeter is 72
meters, what is the length of the shorter side of the plate?
13. A rectangular box of cereal
contains 252 cubic inches of product. It is 12 inches tall and 7 inches wide.
How deep is the box? (Volume equals height times width times depth.)
14. The length of a rectangle
is 8 feet more than the width. If the width is increased by 4 feet and the
length is decreased by 5 feet, the area of the two rectangles remains the same.
Find the dimensions of the original rectangle.
15. The length of a
rectangle is 4 m more than the width. The area of the rectangle is 45 m2.
Find the length and width.
16. The length of a
rectangle is three times the width. The area is 108 cm2. Find the
dimensions of the rectangle.
17. The length of a
photograph is 1 cm less than twice the width. The area is 28 cm2.
Find the dimensions of the photograph.
18. A square field had 3 m
added to its length and 2 m added to its width. The field then had an area of 90
m2. Find the length of a side of the original field.
19. The length of a
rectangular mural is 2 m greater than the width. The area is 20 m2.
Find the dimensions of the mural.
20. The length of a
rectangle is 6 cm more than the width. The area is 11 cm2. Find the
length and width.
21. The length of a
rectangular garden is 4 m greater than the width. The area is 71 m2.
Find the dimensions of the garden.
22. The length of a rectangular park is 2 km less than twice the width. The area
is 9 km2.
Find the dimensions of the park.