The difference of the parallel sides of a trapezoidal field is 20 m. Its area is 450 m² and its altitude is 15m Find the length of the parallel sides.

The length of the parallel sides are 20 m and 40 m

Step-by-step explanation:

we know that

The area of a trapezoid is equal to

where

A is the area

b_1 and b_2 are the parallel sides

h is the altitude

we have

substitute

-----> equation a

Remember that

The difference of the parallel sides of a trapezoidal field is 20 m

I will assume that

so

----> equation b

solve the system of equations a and b by elimination

Adds equation a and equation b

Find the value of b_2

substitute the given value

therefore

The length of the parallel sides are 20 m and 40 m

answer: the common difference is -0.10

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1