Algebra 1
Name: ____________________________________
Unit 5: L7.1
Date:
_________________
Period: ________
SUPPLEMENTAL WORKSHEET # 1… Applications of Polynomials
1)
The length of an aquarium exceeds the width by 5 feet, and the height is 3 feet less than the width.
Find the dimensions of the room. Write an expression that represents the volume of the box.
2)
Each side of an equilateral triangle has length w  3 . Each side of a
square has length 4w  2 . Write an expression for the sum of the
perimeter of the equilateral triangle and the perimeter of the
square.
3)
Colette is putting a mat of width 3w and a frame of width
w around a 16-inch by 48-inch poster. Find an expression
for the amount of frame material she needs.
4)
The area of the rectangle is 2a 2  4a  5 cm2. The area of
the square is a 2  2a  6 cm2. What is the area of the
shaded region?
5)
Find the area of the shaded region.
6)
The Gonzalez family is having a pool to swim laps built in their backyard. The pool will be 25 yards long
by 5 yards wide. There will be a cement deck of width x yards around the pool. Find the total area of
the pool and the deck.
Diagram:
7)
A rug is placed in a 10 feet by 20 feet room so that there is an uncovered strip of width x all the way
around the rug. Find the area of the rug.
Diagram:
8)
A student forms a box from a 10 inches by 15 inches piece of cardboard by cutting a square with side
length x out of each corner and folding up the sides. Write and simplify an expression for the area of
the base of the box.
Diagram:
9)
You are planning a rectangular garden where the length is twice the width. You want a walkway 2 ft
wide around the garden.
a) Write an expression for the area of the garden and walk.
b) Write an expression for the area of the walk only.
c) If you have enough gravel to cover 76 ft2, what should the dimensions of the garden be?