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AS Maths Edexcel

Hello people, can you please help me with this question:

If a rectangle has an area of 84 and a perimeter of 4, what is the ration of the length of the longer side to the shorter?

Thanks.

Call the long side x and the short side y. You can then write simultaneous equations for the area and perimeter and solve them for x and y. Then just work out the ratio from that :smile:

:smile:

xy = 84
2x+2y = 40

Solve simultaneously. Then get a ratio of x:y assuming x is the longer side.

OP

Ahh thats sick. Thanks everyone.

OP

sohanshah

xy = 84
2x+2y = 4

Solve simultaneously. Then get a ratio of x:y assuming x is the longer side.

Just one thing, how can i work on the simultaneous equations if there is a x and + involved?

kaith

Hello people, can you please help me with this question:

If a rectangle has an area of 84 and a perimeter of 4, what is the ration of the length of the longer side to the shorter?

Thanks.

I believe you have written the question wrong. This gives complex solutions.

kaith

Just one thing, how can i work on the simultaneous equations if there is a x and + involved?

Let x+y=2 so y=2-x then substitute into equation 1

kaith

Ahh thats sick. Thanks everyone.

Thank god it's not just me who when doing maths and finally finds the solution to a problem thinks it's 'sick' :wink:

:wink:

:biggrin:

OP

yeah sorry i meant the perimeter to be 40 not 4. sorry

gummers

Thank god it's not just me who when doing maths and finally finds the solution to a problem thinks it's 'sick' :wink:

:wink:

:biggrin:

Even when you write the question wrong :smile:

:smile:

OP

Small123

Even when you write the question wrong :smile:

:smile:

Is that sarcasm?

kaith

Is that sarcasm?

Nope. It's just I too get happy when I get the answer to a really hard question to only deduce after that I wrote the question wrong :p:

:p:

.

OP

Small123

Nope. It's just I too get happy when I get the answer to a really hard question to only deduce after that I wrote the question wrong :p:

:p:

.

Haha yeah but it's also annoying since after doing all the hard work youve gained nothing :/

xy = 84
2x+2y = 40

x = 20 - y

(20-y)y = 84

20y - y^2 -84 = 0

Now solve!

Small123

Even when you write the question wrong :smile:

:smile:

You got me!
Damn you Small123.. :rolleyes:

:rolleyes:

kaith

Haha yeah but it's also annoying since after doing all the hard work youve gained nothing :/

I suppose but it gives you some satisfaction and you l
earn to try to check the questions thoroughly :p:

:p:

gummers

You got me!
Damn you Small123.. :rolleyes:

:rolleyes:

:wink:

. When i read it i thought hang on is that possible? :p:

:p:

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