Problem

Write a system of two equations in two variables …

01:41

Problem 25 Medium Difficulty

Write a system of two equations in two variables to solve each problem.
Geometry. A 50 -meter path surrounds a rectangular garden. The width of the garden is two-thirds its length. Find the length and width.

Answer

Length: $15 \mathrm{m},$ width: $10 \mathrm{m}$

Related Courses

Algebra

Elementary and Intermediate Algebra

Chapter 4

Systems of Linear Equations and Inequalities

Section 4

Problem Solving Using Systems of Equations

Discussion

You must be signed in to discuss.

Top Algebra Educators

Watch More Solved Questions in Chapter 4

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Video Transcript

So you have a rectangular situation. 50 meter path surrounds a rectangle. Your rectangular gardens. Let's say you got length with link with Selina, it's a 50 meter path, and that would mean you have to go to lengths close to is to lock around. It's the perimeter. The width is 2/3 its length. So the with is 2/3 will link. This looks like substitution for me. Substitute the 2/3 in for the W right there because W is equal to 2/3 of L. So 50 equals two hour plus two times w We're substituting in t thirds. L multiply the two in the two theories to our plus 4/3. Now, um, Now, if you think about thirds, we need a common denominator here. So to make two l into thirds right now, it's too well over one. And so I'm gonna multiply by three because then my denominator will be three. So I have 50 equal six al over three plus 4/3 l for l over three. So I'm gonna bring that over here. 50 equals six and four makes 10 l over three so you can divide both science by 13th if using a calculator, make sure you, uh, put the 13th infraction form. That'll give you 15 I believe. Yeah. So 15 would be the l. And then if you want to find the W w. Is 2/3 of that. Well, 2/3 of 15 is 10 and you can double check that. That has a perimeter.

We have video lessons for 94.35% of the questions in this textbook