Question

The area of a rectangular mirror is 15 7 16 square feet. The width of the mirror is 3 1 4 feet. If there is a 5 foot tall space on the wall to hang the mirror, will it fit?

Answer 1

Given:

Area of rectangle =
`15(7)/(16)` sq. feet.

Width of the mirror =
`3(1)/(4)` feet.

To find:

Whether it will fit on the wall whose length is 5 foot.

Solution:

We know that, area of a rectangle is

`Area=length* width`

`(Area)/(width)=length`

Substituting the given values, we get

`Length=(15(7)/(16))/(3(1)/(4))`

`Length=((15* 16+7)/(16))/((3* 4+1)/(4))`

`Length=((240+7)/(16))/((12+1)/(4))`

`Length=((247)/(16))/((13)/(4))`

`Length=(247)/(16)* (4)/(13)`

`Length=4.75`

So, length of mirror is 4.75 feet which is less than 5 feet.

Therefore, the mirror will fit on the wall.