The length of a rectangular playing field is 5m longer than its width. If the perimeter of the field is 150m, find it's width​

The width of the field is 35 meters.

Step-by-step explanation:

Recall that the perimeter of a rectangle is given by:

Where w is the width and l is the length of the rectangle.

We know that the perimeter is 150 meters. Thus:

Divide both sides by two:

We are given that the length is five meters longer than the width. So:

Substitute:

Combine like terms:

Subtract five from both sides:

And divide both sides by two. Hence:

Thus, the width of the rectangular field is 35 meters.

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: