The preimeter of retangular field is 258 yards. if the length of the field is 74 yards, what is its width

Use the formula for the perimeter.

P = 2l + 2w

Substitute

258 = 2(74) + 2w

Solve for w

258 = 2(74) + 2w
258 = 148 + 2w
110 = 2w
/2       /2
55 = w

Therefore the width is 55 yards.

Proof: 55 + 55 + 74 + 74 = 258

To find the perimeter, you would do 2w + 2l = 258. You can plug in 74 for l, which gives you 2(74) + 2(w) = 258. 

This simplifies to 148 + 2(w) = 258. Now, using the subtraction property of equality, you would subtract 148 from both sides leaving you with 2(w) = 110. 

Then, using the division property of equality, you divide by 2 on both sides, which gives you w = 55. Therefore the width of the rectangular field is 55 yards. To check your work, plug in both numbers into the equation above, and you should get 258. Hope this helps. Please rate, leave a thanks, and mark a brainliest (Not necessarily mine). Thanks, it really helps! :D

7 photos

Step-by-step explanation: