As an architect, you are designing a new house. A window has a he...

Question

As an architect, you are designing a new house. A window has a height between 140 cm and 150 cm and a width between 74 cm and 70 cm. What are the smallest and largest areas that the window could be?

Accepted Answer

Welcome back everybody. We are taking a look at a range of manufactured doors and we are told a couple different things here, we're told that the ranges for the range for the widths range anywhere from 3.5 to 4.5 m inclusive and for the height, that range is 2.5 to 3.7 m inclusive. And we are tasked with finding what the smallest possible area is and what the largest possible area is. Just as a reminder here, we know that the formula for the area of a rectangle is going to be the width times the height. So let's go ahead and start out with part one here. The smallest area. In order to achieve the smallest area. Let's just choose the smallest, the smallest number in each interval for both of our dimensions. So we will multiply 3.5 times 2.5 giving us 8.75 m squared. Which rounding up gives us 8.8 m squared. Great. Now, similarly for the largest area possible this time we're just going to take the largest number in both intervals and multiply them together. So we have 4.5 times 3.7 which when you plug into your calculator, you get 16.65 m squared, which is approximately 17 m squared. So now we have found both the smallest and largest possible areas corresponding to our answer choice of D Thank you all so much for watching. Hope this for your help. We will see you all in the next one

As an architect, you are designing a new house. A window has a height between 140 cm and 150 cm and a width between 74 cm and 70 cm. What are the smallest and largest areas that the window could be?

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