You can set up a system of equations with x being the smaller number and y being the larger number. So the first equation would be 2y=5x-14 and the second equation would be x=y-2. You can solve by substitution and substitute y-2 into the x in the first equation to get 2y=5(y-2)-14. You can solve this out and it ends up simplifying to y=8. So you know the larger number is 8. So since the larger number is 8 and they are consecutive even integers, the smaller number must be 6. So the two numbers would be 6 and 8.
The ratio of the area of the smaller rectangle to the area of the larger rectangle is 1:16
Area of a rectangle
The formula for calculating the area of a rectangle is expressed as:
A = length * width
For the large triangle
Area = 16 * 12
Area of large triangle = 192 square units
For the smaller rectangle
Area = 4 * 3
Area. of small rectangle = 12 square units
Ratio = 12/192 = 1:16
Hence the ratio of the area of the smaller rectangle to the area of the larger rectangle is 1:16
Learn more on area of rectangle here: brainly.com/question/25292087
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Yes, usually they will suggest you to stick with fractions more than decimals.
If the length is 32 and the ratio is 3:4, you'd do 32 ÷ 4 = 8. The answer is 3 × 8, which is 24 inches. I hope this helps!
