a rectangular frame has a length of 3 and 1/8 feet and an area of 2 and 3/4 feet. what is the width ,w, in feet, of the frame?
0.67 feet i don't know if i am correct so i want you to show the work with me please because i really don't understand what the question is asking me. Thanks.cy fyhfyrwihyqogoq ohrgyg hpu gf g
A = LW
2.75 = 3.125W
2.75 / 3.125 = W
0.88 = W
To find the width of the rectangular frame, we can use the formula for the area of a rectangle: A = length × width.
In this case, we are given the length of the frame as 3 and 1/8 feet and the area as 2 and 3/4 feet.
First, we need to convert the mixed numbers into improper fractions so that we can work with them easily.
The length can be written as 3 + 1/8 = 24/8 + 1/8 = 25/8 feet.
And the area can be written as 2 + 3/4 = 8/4 + 3/4 = 11/4 feet.
Now, let's substitute the given values into the formula for area:
11/4 = (25/8) × width
To isolate the width, we multiply both sides of the equation by the reciprocal of 25/8, which is 8/25:
(11/4) × (8/25) = (25/8) × (8/25) × width
Simplifying the left side of the equation:
(11/4) × (8/25) = 88/100 = 22/25
Now, we have:
22/25 = width
To express the width as a mixed number, we divide the numerator (22) by the denominator (25) to get the whole number:
22 ÷ 25 = 0 remainder 22
The whole number is 0, so the width is less than 1 foot.
To express the remainder (22) as a fraction, we use it as the numerator over the original denominator (25):
Width = 0 22/25 feet
So, the width of the frame is 0 22/25 feet or approximately 0.88 feet.