A rectangular field is 65 meters wide and 115 meters long. Give the length and width of another rectangular field that has the same perimeter but a smaller area.

Question

asked Jan 22, 2019 176k views

1 Answer

Jeff Potts · Answer 1 · 2019-01-25T23:42:07+0000

Answer: width = 30 m, length = 150 is one possible answer

Explanation:

P = 2L + 2w A = L x w

= 2(65) + 2(115) = 65 x 115

= 130 + 230 = 7,475

= 360

360 ÷ 2 = 180

Find 2 numbers whose sum equals 180 and product is less than 7475

Sum: L + w = 180 ⇒ w = 180 - L

Product: Lw < 7475

Graph these 2 equations to see which coordinates of the sum fall into the shaded region of the product.