Question

The area of a rectangular banquet call is 7400 ft.². The length of one side of the hall is 82 feet. Explain how you can use compatible numbers to activate the width of the hall

Answer 1

Compatible width of rectangular banquet hall could be 90 feet approximately.

Explanation:

Given

Area of a rectangular banquet hall = 7400 square feet

Length of rectangular banquet hall = 82 feet

We need to calculate width of the rectangular banquet hall.

Now Area of rectangle is equal to length times width.

Framing in equation form we get;

`Area\ of \ Rectangle= length * width`

Substituting the given values we get;

`82 * width = 7400\\\\width = (7400)/(82) = 90.2439`

Now by definition of Compatible numbers which state that:

"Compatible numbers are the numbers that are easy to add, subtract, multiply, or divide mentally. Compatible numbers are close in value to the actual numbers that make estimating the answer and computing problems easier."

Now By Using width as 90 feet and length as 82 feet we get area as 7380 sq ft. which is closet to actual area which is 7400 sq ft.

Hence we can say compatible width could be 90 feet approximately.