Answer:
Well if P = 70 and A = 276 then
2a + 2b = 70
ab = 276
Step-by-step explanation:
8x
Perimeter Rectangle = 2L + 2W
P= 2(3x) + 2(x)P= 6x+2xP= 8x
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
Well if P = 70 and A = 276 then
2a + 2b = 70
ab = 276
Step-by-step explanation:
We will solve for a in the first equation to replace it in the second.
2a + 2b = 70 We move 2b over
2a + 2b - 2b = 70 - 2b
2a = 70 - 2b then isolate a
2a/2 = (70 - 2b)/2
a = 35 - b Now we can replace
(35 - b)b = 276
35b - b^2 = 276 We can rearrange this into a quadratic and solve
-b^2 + 35b - 276 = 0
-b^2 + 12b + 23b - 276 = 0
(-b^2 + 12b) + (23b - 276 )= 0 Now we factor
-b(b - 12) + 23(b - 12)= 0
(-b + 23) (b - 12) = 0
b = 23 or 12
a = 35 - (23) = 12
a = 35 - (12) = 23
So the sides are 23 and 12. The longest is 23.
Answer:
8x
Step-by-step explanation:
Perimeter Rectangle = 2L + 2W
P= 2(3x) + 2(x)
P= 6x+2x
P= 8x