Below are the dimensions of an assortment of rectangles. Which rectangle has dimensions that are similar to a rectangle that has a dimension 2 times 5? Assume that all the units are identical.
5 times 8
6 times 9
4 times 10
1 times 10
8 times 20
10 times 4
please can you help me answer this. i've literally been waiting for an hour or so and I've seen people post things after me and they have gotten their questions answered.
w/L = 2/5
4/10 = 2/5
To determine which rectangle has dimensions similar to a rectangle with dimensions 2 times 5, we need to compare the aspect ratio of the rectangles. The aspect ratio is the ratio of the longer side to the shorter side.
First, let's calculate the aspect ratio for the rectangle with dimensions 2 times 5:
Aspect ratio = Longer side / Shorter side = 5 / 2 = 2.5
Now, let's calculate the aspect ratios for the other rectangles:
Aspect ratio for 5 times 8 = 8 / 5 = 1.6
Aspect ratio for 6 times 9 = 9 / 6 = 1.5
Aspect ratio for 4 times 10 = 10 / 4 = 2.5
Aspect ratio for 1 times 10 = 10 / 1 = 10
Aspect ratio for 8 times 20 = 20 / 8 = 2.5
Aspect ratio for 10 times 4 = 4 / 10 = 0.4
Out of these rectangles, the one with the aspect ratio closest to 2.5 (the aspect ratio of the rectangle with dimensions 2 times 5) is the rectangle with dimensions 4 times 10. Therefore, the rectangle that has dimensions similar to a rectangle with dimensions 2 times 5 is the one that measures 4 times 10.