Apicture is 4.25 inches wide and 7.75 inches tall. it is mounted in a frame with a border of x inches wide on all sides. if the area of the shaded border is 45 inches squared, what is its width x?

ANSWER:  

Width of border is 1.5 inches            

SOLUTION:

Given,  

Width of the photo graph = 4.25 inches

Height of the photo graph = 7.75 inches  

And it is mounted in a frame with border of x inches, so the dimensions after mounting will be

Width after mounting = (4.25 + x + x) [ since, two sides of photograph will have borders

Height after mounting = (7.75 + x + x) [ since, two sides of photograph will have borders  

Area of border = 45 square inches

As we all know that, photograph will be in rectangular shape,  

Area of photograph =

Area of photograph after mounting =

Now, area of border = Area of photograph after mounting - Area of photograph before mounting

  [by dividing the equation with 4]

As length can’t be negative, x =

Hence , the width x is 1.5 inches

First you multiply 1250x3=3750. Now that you know how much she would make in three weeks know you subtract 700 from 3750 which would be 3050. So the maximum number of day that Ms. Ache can be late for work are 7.