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- 1. Multiple ChoiceFind the area of a rectangle with length (x-5) and width (3x+1).3x2+16x-53x2-14x+53x2-14x-5
- 2. Multiple ChoiceFind the perimeter of a rectangle with length (x-5) and width (3x+1).8x-84x-48x+84x+12
- 3. Multiple Choice
You are drawing a rectangle with side lengths of (3 – x) inches and (x – 7) inches.
What is the value of x that will maximize this drawing?
What is the maximum area that can be obtained from this drawing?
x = 3
max area = 7 in2
x = 5
max area = 4 in2
x = 7
max area = 3 in2
x = 4
max area = 5 in2
- 4. Multiple Choice
An open box is to be made from a 2-foot by 3-foot rectangular piece of material by cutting equal squares from the corners and turning up the sides. Find the volume of the largest box that can be made in this manner.
0.392 ft3
2.683 ft3
1.056 ft3
0.4140 ft3
- 5. Multiple Choice
Find the area of the triangle with height (x+8) and base (2x+4). ( )
2x2+20x+32
x2+10x+16
4x2+40x+64
x2+32x+16
- 6. Multiple Choice
Find the volume of a rectangular prism with length (x+2), width (x-4), and height (2x+1).
- 7. Multiple ChoiceFind the width for a rectangle that has an area of 2x2 + 6x – 8 and length of 2x – 2x + 42x2 + 4x – 6x - 4x + 4 - 16/(2x-2)
- 8. Multiple Choice
A rectangular sheet of cardboard measures 16cm by 6cm. Equal squares are cut out of each corner and the sides are turned up to form an open rectangular box. What is the maximum volume of the box?
59.259 cm3
23.361 cm3
37.483 cm3
43.961 cm3
- 9. Multiple Choice
You want to create a garden in your backyard. Given are the dimensions of the garden and a border. Determine the area of the gray border surrounding the garden bed.
8x + 24
6x + 32
2x2 - 8x + 4
x2 + 16x + 16
- 10. Multiple Choice
BONUS QUESTION: The length of your storage crate is 2 meters greater than its width, and its height is 1 meter greater than its width. If the volume if 24 cubic meters, find the width, length, and height.
width = 2m
length = 4m
height = 3m
width = 1m
length = 6m
height = 4m
width = 2m
length = 6m
height = 2m
width = 3m
length = 4m
height = 2m
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