Polynomials Area Applications Treasure Hunt Answer Sheet Name: Date: Period:

Polynomials Area Applications Treasure Hunt Answer Sheet

Name: Date: Period:

Mathematical Treasure-hunt:

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A large room has the dimensions shown below. A partition is to be

installed so that 2 classes can use it. The area of the smaller classroom is 25x. How can the area of the larger room be expressed in terms of x?

(25+60)x25(60-x)60-25x60(25-x)

(40 75)

2

x

A large room has the dimensions shown below. A partition is to be installed so that 2 classes can use it. The area of the smaller classroom is 40x. How can the area of the larger room be expressed in terms of x?

(40)(75)/2x(75-x)(40)75-40x

25(60-x)42X2+5x+7

M Y


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The area of a rectangle is given by the equation 2k2 – 5k = 18, in which k is the rectangle’s length.

What is the length of the rectangle?

1.52

4.56

The area of a rectangle is given by the equation 3k2 – 4k = 15, in

which k is the rectangle’s length. What is the length of the

rectangle? 1325

(75-x)(40) 4.5

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The area of a rectangle is given by the equation 2k2 – 5k = 12, in which k is the rectangle’s length. What is

the length of the rectangle?

1.5345

The area of a rectangle is 3x2 + 14x+8, and the width is x+4. Which

expression best describes the rectangle’s length?

3x + 22x + 42x + 23x – 2

3 4

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The area of a rectangle is 2x2 + 16x+24, and the width is

x+6. Which expression best describes the rectangle’s

length?

2x + 43x - 23x + 22x – 4

The area of a rectangle is 6x2 + 20x - 16, and the width is 3x-2.

Which expression best describes the rectangle’s length?

2x - 83x - 72x + 83x + 7

3x + 2 2x + 4

P A


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The dimensions of a rectangle are given as a length of (4x-1) and a

width of (2x+ 3). Write an expression to represent the area of

the rectangle.

The dimensions of a rectangle are given as a length of (5x-3) and a

width of (3x+ 4). Write an expression to represent the area of

the rectangle.

2x + 8 8x2+10x-3

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x

x

2

6

Describe the perimeter of the entire rectangle with the given dimensions.

Describe the area of the entire rectangle with the given dimensions.

x

x

2

6

15x2+11x-12 4x+16

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The length of a side of a square is 5x + 2. What is the perimeter and area of this square in terms

of x ?

A sidewalk was built around a rectangular garden. Write an

expression to describe the area of the sidewalk in terms of x ?

X2+8x+12 25X2+20x+4

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Find the volume of the following box in terms of x

Find the total area of the figure if the shaded region is 6x2+ 5x + 7

and the corners are square regions with side length 3x.

3x2+1x 2X3+7x2+3x

S Z

Polynomials Area Applications Treasure Hunt Answer Sheet Name: Date: Period:

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