1. The sun room in their home has a width of 12 feet and a length of 15 feet. They plan to enlarge this room by increasing the width x feet so that the new perimeter of the room is 70 feet. What will be the width of the new enlarged sun room?
| 2. The birds plan to put a new rectangular rug in their living room. The dimensions (in feet) are shown in the diagram at the right. If the perimeter of the rug is 76 feet, what is the value of x? |
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3. The birds priced a new sofa at six local stores. The prices at five of the stores were $357, $499, $450, $600, and $625. If the mean value of the six prices was $510, what was the cost of the sofa at the sixth store?
4. The birds calculated that the cost of remodeling their kitchen is 5 times as much as the cost of remodeling their bathroom. If the kitchen remodel costs $25,000, what is the cost of remodeling the bathroom (in dollars)?
5. The birds plan to enlarge the picture window in their living room. The length of the new rectangular window is 6 feet more than its width, w. The area of the new window is 72 square feet.
a) Which of the numbered choices is a possible equation for finding the dimensions of the new window?
| 1) w² + 6w + 72 = 0 |
2) w² + 6w - 72 = 0 |
| 3) w² - 6w - 72 = 0 |
4) w² - 6w + 72 = 0 |
b) What is the length of the new window? |
