Rectangle 8287

The soccer player circled the field in a rectangle seven times. He walked 840 meters. How long are the sides of the course if one side is 20 meters longer than the other?

Correct answer:

a =  40 m
b =  20 m

Step-by-step explanation:

2·(a+b) = 840/7
a = 20+b

14a+14b = 840
a-b = 20

Row 2 - 1/14 · Row 1 → Row 2
14a+14b = 840
-2b = -40


b = -40/-2 = 20
a = 840-14b/14 = 840-14 · 20/14 = 40

a = 40
b = 20

Our linear equations calculator calculates it.

$b=20=20\text{m}$

Try another example