Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Optimisation

I'm really struggling with this question, if someone could help it would be really appreciated. Thanks :smile:

:smile:

The diagram shows an enclosure in the shape of a rectangle with dimensions 2x meters by y meters joined to an isosceles right-angled triangle with hypotenuse 2x meters. The enclosure has perimeter P meters and area A square meters.

a) (i) Express A in terms of x and y.
(ii) Express P in terms of x and y.

b) It is given that the perimeter of the enclosure is 100 meters.
(i) show that A=100x-(1+2√2)x^2

hi is it possible to post a photo or diagram?

OP

idk how to do that its just a house shape with 2x on the bottom and y on the side, the isosceles sits on top of the rectangle

Study Forum Helper

Original post by penguin2412

idk how to do that its just a house shape with 2x on the bottom and y on the side, the isosceles sits on top of the rectangle

It's an isosceles right-angle triangle. Meaning the two perpendicular sides of the triangle are both equal length. In fact, if you say that they are

a

then we must have the property

a^2+a^2 = (2x)^2

which implies that

a=x\sqrt{2}

.

So just find the perimeter and area of the house in terms of x and y

Quick Reply

Latest

Trending

Trending

Articles for you

What is an LLM and how could it benefit your career?

What is an LLM and how could it benefit your career?

Powerful questions business students forget to ask their career advisers

Powerful questions business students forget to ask their career advisers

Why I chose a law degree and what studying law was like

Why I chose a law degree and what studying law was like

What can you do with an arts degree?

What can you do with an arts degree?