Is the answer 6cm

The triangle's base and height is the same as the rectangle's length and breadth. Since a triangle is 1/2 x base x height , it is also 1/2 x rect length x rect breadth. So the area of rectangle is twice of the triangle. Conceptually, a triangle is always half of a rectangle or a square if you consider its formula. So the rectangle is 54 cm2 x 2 = 108cm2 From there u can use a model method to solve the rest. (Would like to amend this to Guess and Check, I dont think model would be helpful here. I read too fast and thanks to fellow contributor Izam Marwasi for pointing it out)

Izam Marwasi I don't have the ans. as this is his worksheet.

Thank you

Yes. Ans shld b 6cm. Shaded area = unshaded area. Total area is 108. Use guess and chk to find breadth and length.

You can also use gues and check

Thank you all!

I am thinking of algebra which is not suitable for the kids... Care to show the model method Eugene Ng Ming Teck..

Length 3u Breadth u 3u x u= 108cm² u²= 108cm²÷ 3 u²=36cm²---> u x u = 6cm x 6cm u=6cm

Apologies, I realise I read it too quickly. I can only use guess and check for this level. Thank you for pointing it out,

Think will use guess and check

Yup...guess and check... Based on common factors of 1,3 and 108...that's what I think..

Not guess and check...

As in don't need guess and check

Zhong Shu Hao Care to show? Thanks

Jolene Koh

Alternatively, you can also use Area of triangle = 1/2 x breadth x length = 54 1/2 x 3 x breadth x breadth = 54 breadth x breadth = (54 x 2)/3 breadth x breadth = 36 You will get the same answer :D

Thank you!

May I know this qn is for which level?

P5

Hi Joyce Teh care to share how to show in model? Thks

Sorry. Just realised model can't work. Will stick to G & C.

Removed my previous reply to avoid confusion. Apologies.

😊 Thank you

Answer sheet is $ 730.

Sorry, made a mistake just now.. Here is the correct workings !

But my model is different from you.

See your model ?

Thank you Pauline Vong and Raymond Ng.

Wang Zheng Xiang - The 430 is missing from your model ?

Noted. Thank you. Pauline Vong Nyit Li

You are most welcome ! Hope u understand my workings. Either Sean - (Tim + Ryan) = More (215) OR Sean - 215 (more) = Tim + Ryan. Both will enable you to get the same answer..

Yes. Thank you.

Area of Square = 6 * 6 = 36 (squ cm) So, Area of Unshaded Square + SHADED PART = 36 (Eqn 1) (Ratio given 2:5; So Area of Rectangle = 90) Area of Unshaded Rectangle + SHADED PART = 90 (Since Ratio is 1:3; therefore Area of Unshaded Rectangle = 3 times Area of Unshaded Square) So, 3 * Area of Unshaded Square + SHADED PART = 90 (Eqn 2) Eqn 2- Eqn 1 2 * Area of Unshaded Square = 90-36 = 54 Area of Unshaded Square = 54 /2 = 27 SHADED PART = Area of Square - Area of Unshaded Square = 36 - 27 = 9 (Squ cm).

May be you times 2 so 18 cm2. :) ( Shd be 9 cm2)

Thanks for your detailed solution 😊. I believe my solution is wrong as it differs from that on the answer key.

My girl did this.. Hope it's correct and helps !

Hope this helps !

Thank u!

This question is very tricky ! Attempted but still no clue 😔. I'm keen to find out the workings and answer... TIA !

I know right, my girl's Math teacher pose challenging questions like this, really wondering if this is the norm p5 standard 😓

Yeah... Crazy !

Sorry I had to scribble. It's a great enrichment question. Makes you think about how to relate A to B and vice versa.

Is the answer 270 ? Need to slowly digest it tmr...

Haha. Nope, but you can work out the rest of answer. The gist of this question is to understand that A and B are separate quantities and the 100% of each is different. From there one modify A or B in some way that they can relate to each other using units. In this case I change the way B is drawn such that it is based on A's units. Then it becomes solvable.

I remembered getting some figures (with decimals) like this while working on it and thought was not correct, hence never carry on.. Will try again tmr.

Is the answer correct ?