Answer:
I am assuming that the length is 8 inches longer than the width.
Let x be the width (shorter side) in inches.
The other side has length x + 8 inches and the area is x(x + 8) = x^2 + 8x which we are told is 180m² ins.
To get x, we need to solve the quadratic equation x^2 + 8x - 180m² = 0.
Solving quadratic equations is a bit of an art, often involving a bit of guesswork at an approximate answer to get started.
Firstly, if we assume that x^2 is large compared to 8x, then x^2 ~ 180, so x ~ √180 = 28.72…
Secondly, I'm going to assume that x is an integer. Why? Because answers to numerical problems on Quora normally are - not very scientific I know.
Now if x is an integer, then x^2 + 8x = 180m² means that x must be divisible by 5.
Try x = 25. 180m² / 25 = 33, which is 8 greater than x.
ANSWER: Width is 25, length is 33.
Step-by-step explanation:
Sana nakatulong
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
I am assuming that the length is 8 inches longer than the width.
Let x be the width (shorter side) in inches.
The other side has length x + 8 inches and the area is x(x + 8) = x^2 + 8x which we are told is 180m² ins.
To get x, we need to solve the quadratic equation x^2 + 8x - 180m² = 0.
Solving quadratic equations is a bit of an art, often involving a bit of guesswork at an approximate answer to get started.
Firstly, if we assume that x^2 is large compared to 8x, then x^2 ~ 180, so x ~ √180 = 28.72…
Secondly, I'm going to assume that x is an integer. Why? Because answers to numerical problems on Quora normally are - not very scientific I know.
Now if x is an integer, then x^2 + 8x = 180m² means that x must be divisible by 5.
Try x = 25. 180m² / 25 = 33, which is 8 greater than x.
ANSWER: Width is 25, length is 33.
Step-by-step explanation:
Sana nakatulong