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.

Explanation:

When two shapes are similar then,

`\frac{(\text{Side of first shape})^2}{(\text{Side of second shape})^2}=\frac{\text{area of first shape}}{\text{area of second shape}}`

As per given , we have

`((175)^2)/((40)^2)=\frac{\text{Area of AT}\ \&\text{T Stadium }}{896}\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=(30625)/(1600)*896\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=17150`

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