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Alenkinab [10]
3 years ago
8

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 f

eet, the area remains the same. Find the dimensions of the original rectangle.
Mathematics
1 answer:
SVEN [57.7K]3 years ago
7 0

Answer:

Width = 12 feet

Length = 20 feet

Step-by-step explanation:

The area of a rectangle is A = l*w. Here the length is 8 feet more than the width or 8 + w and the width is w. So the area is A = w(8+w) = 8w + w²

If the dimensions are changed then the expressions will change. The width is increased by 4 feet. This means the width w becomes w + 4. The length is decreased by 5 feet. This means the length becomes 8 + w - 5 = 3 + w. So the area of the new triangle is A = (w+4)(3+w) = w² + 7w + 12.

Since the areas are the same, set them equal to each other and solve for w.

w² + 7w + 12 = 8w + w²                Subtract w² from both sides.

7w + 12 = 8w                                 Subtract 7w from both sides.

12 = w

The original width w is 12 feet. This means the original length which was 8 + w = 8 + 12 = 20 feet.

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The order of temperature values become -16.7°C > -11.15°C > -7°C > 3°C And -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.

According to the statement

we have given that the some values of the temperatures and we have to write it in the order from the coolest to the warmest means in increasing order.

So, For this purpose,

The given values of temperatures are:

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So, -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.

The order of temperature values become -16.7°C > -11.15°C > -7°C > 3°C And -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.

Learn about the increasing order here

brainly.com/question/14662181

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