Question

The screen at Dallas’ AT&T Stadium is 175 feet wide. A movie theatre screen with similar dimensions is 40 feet wide with a screen area of 896 ft². What is the area of the screen at AT&T Stadium? Round to the nearest square foot.

Answer 1

Answer: The area of the screen at AT&T Stadium = 17150 square foot.

Step-by-step explanation:

When two shapes are similar then,

$\dfrac{(\text{Side of first shape})^2}{(\text{Side of second shape})^2}=\dfrac{\text{area of first shape}}{\text{area of second shape}}$

As per given , we have

$\dfrac{(175)^2}{(40)^2}=\dfrac{\text{Area of AT}\ \&\text{T Stadium }}{896}\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=\dfrac{30625}{1600}\times896\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=17150$

Hence, the area of the screen at AT&T Stadium = 17150 square foot.