Answer:
The width of the rectangular yard is 72 inches
Explanation:
Let
L -----> the length of the yard
W ----> the width of the yard
we know that
The perimeter is equal to
![P=2(L+W)](https://img.qammunity.org/2020/formulas/mathematics/high-school/zp0cq8kh3lxm1bcfeu0a3nf7jca129894r.png)
we have
![P=22\ ft](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tssr5hmtt7z69g28zi2g19y9okdnmoaw51.png)
![L=5\ ft](https://img.qammunity.org/2020/formulas/mathematics/high-school/8yvowe2zwtrjnej2uvwky8cyvi9pj2bqew.png)
substitute in the formula and solve for W
![22=2(5+W)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9c76gu5i7ep0ddgt5f1qofz8aokzxtb6cz.png)
Divide by 2 both sides
![11=(5+W)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tt3at9aao3vbavt2vu1u9mrv9d37xw3cp8.png)
Subtract 5 both sides
![W=11-5=6\ ft](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bydjxf6cf43jck1kmxgqw9qi68gtw36d0e.png)
Convert feet to inches
Remember that
1 ft= 12 in
![6\ ft=6*12=72\ in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gysqewzwj22y1bsbxfzmdg7w28hwjpvwj8.png)