A rectangular garden has a perimeter of 172 feet. The length of the garden is 24 feet more than the width. What are the dimensions of the garden? (Recall the formula P = 2L + 2W.)

Question

campbell_st · Answer

well let the width be w

then the length is 24 + w

so the perimeter is 

172 = 2(w + 24) + 2w 

now you have an equation in one unknown. 

just distribute to remove the brackets, 

collect like terms 

then solve for w. 

after finding w, the length will be    l = w + 24