4. The measure of two complementary angles are in the ratio 1 : 5. What are the degree measures of the two angles?

5. The ratio of length to width in a rectangle is 3 to 1. If the perimeter of the rectangle is 56 feet, what is the length of the rectangle?

RainbowPanda Mar 5, 2018

#1**+2 **

4. The measure of two complementary angles are in the ratio 1 : 5. What are the degree measures of the two angles?

1 : 5 means there are 6 equal parts....

So...one of them is (1/6) of these

So (1/6) * 90 = 15°

And (5/6) * 90 = 5 * 15 = 75°

5. The ratio of length to width in a rectangle is 3 to 1. If the perimeter of the rectangle is 56 feet, what is the length of the rectangle?

P = 2 (L + W) but L = 3W.....so we have...

56 = 2 ( 3W + W) divide by 2

28 = 3W + W

28 = 4W divide by 4

7 = W

So L = 3W = 3(7) = 21 ft

CPhill Mar 5, 2018