The area of a rectangle is 1/2 square inch. the length of the rectangle is 3/8 inch. what is the width of the rectangle?

Step-by-step explanation:

Let's put this into the area formula. The formula for the area of a triangle is A=lw. A is area, l is length, and w is width. We already know the area, 1/2, and the length, 3/8, so let's plug that in.

1/2=3/8

Now divide 3/8 from both sides. Divide 1/2 by 3/8. When we divide fractions, you flip the fraction you are dividing by and multiply it to the original fraction. So we multiply 1/2 by 8/3.

1/2*8/3=8/6

Simplify 8/6.

4/3

Now we know that w=4/3, so the width is 4/3 inches.

answer: 177/8

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.