Thread: maths question

Are all the rectangles the same? Or doesn't it matter?

Originally Posted by tea lady

Are all the rectangles the same? Or doesn't it matter?

All rectangles can't be the same, a box made out of all rectangles the same becomes a cube made out of squares!

Oops, maybe I am looking at this wrong, I assumed Arty was talking about a three dimensional box made of six rectangles. More likely that he is talking about a two dimensional square made up of six rectangles?

Originally Posted by Burnsy

Oops, maybe I am looking at this wrong, I assumed Arty was talking about a three dimensional box made of six rectangles. More likely that he is talking about a two dimensional square made up of six rectangles?

Yeeeeeeeeeeees!

1089 square cm

6 rectangles each 6 times longer than they are wide

perimeter of each rectangle is 6+6+1+1=14

times six rectagles = 84 units in perimeter all up

330 /84 = 3.92857 cm per unit

3.92857x6 = 23.5714cm (length of one side of square)

Area = 23.5714 x 23.5714
= 555.6cm square

A square who cares what it's made of, 330cm total perimiter.
330 div by 4 = 82.5 for one side x 2 = 6806.25 sqcm (Area)

It depends how you arrange them or if you are being tricky!

If you mean that the perimeter is 330 for all the rectangles once they are put together then 330 is the perimeter of the square and the area would be 6806.25 cm squared as calculated by claw hama the tricky sneaky one (No not you Claw hama, I mean spirits question!!!!!!!)

If all the rectangles are the same size, then there are two ways to arrange them

6 x 1 and the answer would be 555.6 cm squared as calculated by burnsy


3 x 2 and the answer would be 1089 cm squared as calculated by canetoad

So Spirit are you going to come clean and tell us which one you really meant!!!!!!



Chipman

Originally Posted by Claw Hama

A square who cares what it's made of, 330cm total perimiter.
330 div by 4 = 82.5 for one side x 2 = 6806.25 sqcm (Area)

Originally Posted by SPIRIT

a square is formed by 6 rectangles- given the total perimeter of the 6 rectangles is 330cm.

• determain the area of the square

Total perimeter of the 6 rectangles so each rectangles perimeter is 330 /6 = 55 divide that by the perceived perimeter of a rectangle that is the right proportion to make a square when six of them are put together which is 14 (rectangle is 6 units long and 1 unit wide) = 3.9285. Multiply that by the perceived length of the square 6 (square is 6 units x 6 units) = 23.57. Area equals 23.57 x 23.57 = 555.6cm square.

yeah cmon, what is it?

Yep ambiguous, is it the total perimiter of the individual rectangles or of the square?
GIven that you can get multipul answers going with the rectangles maybe it's the perimiter of the square? Owwe it's too late at night for this game.

I am meant to be writing reports - due Monday, this is much more fun. The year sevens think I am mad when I get up in front of the class and start running off about how great maths logic is

Very easy to run off on a completely wrong tack though - check my first post

But Burnsy you are the only one who mentioned a box Spirit only said a square.
Is that your funky green machine?