A researcher has a testing pot used for testing seeds. The perimeter of the plot is 322m. The length of the plot is 25m more than the width. Find the dimensions of the plot.
w = width
w + 25 = length {length is 25 more than the width}
Perimeter of a rectangle = 2(width) + 2(length)
2w + 2(w + 25) = 322 {substituted width and length into perimeter formula}
2w + 2w + 50 = 322 {used distributive property}
4w + 50 = 322 {combined like terms}
4w = 272 {subtracted 50 from each side}
w = 68 {divided each side by 4}
w + 25 = 93 {substituted 68, in for w, into w + 25}
width = 68 m
length = 93 m
- Algebra House
w + 25 = length {length is 25 more than the width}
Perimeter of a rectangle = 2(width) + 2(length)
2w + 2(w + 25) = 322 {substituted width and length into perimeter formula}
2w + 2w + 50 = 322 {used distributive property}
4w + 50 = 322 {combined like terms}
4w = 272 {subtracted 50 from each side}
w = 68 {divided each side by 4}
w + 25 = 93 {substituted 68, in for w, into w + 25}
width = 68 m
length = 93 m
- Algebra House
