Q&A - P5 Math

[Xiao Hu]

tianzhu:

clblinym:

My son had some problem in solving the question below. Can anyone help? TIA http://i44.tinypic.com/33w43yr.png\">

Hi

Good Morning.

Draw a double sided arrow to show 10cm on the top and left side of the square and you’ll be able to see that the length and breadth of the shaded area are 6cm and 4cm.

Perimeter of rectangle = 52cm
Breadth of rectangle = 10cm
Hence, length of rectangle = (52 – 20)/2 = 16cm

Area of shaded part = 6*4 = 24 sqcm

Area of unshaded area = (10*10) + (16*10) – 24 = 236 sqcm

Best wishes

Hi Tianzhu,
May I know how you get the Breadth of rectangle = 10cm? That seems to be key to answering the rest of the question.

TIA,
Xiaohu

[tianzhu]

Hi moderators


Please help to delete.

Best wishes

[Xiao Hu]

tianzhu:

Xiao Hu:

Hi Tianzhu,
May I know how you get the Breadth of rectangle = 10cm? That seems to be key to answering the rest of the question.

TIA,
Xiaohu

Hi Xiaohu

Visualise this, move the rectangle upwards until its top edge touches the top edge of the square.

Best wishes

Hi Tianzhu,
Thx. But I was thinking why can't the breadth be > 10cm? What's stopping the breadth to be say 11cm or 12 cm etc?

TIA,
Xiaohu.

[tianzhu]

Hi moderators


Please help to delete.

Best wishes

[Xiao Hu]

tianzhu:

Xiao Hu:

Hi Tianzhu,

Thx. But I was thinking why can't the breadth be > 10cm? What's stopping the breadth to be say 11cm or 12 cm etc?

TIA,
Xiaohu.

Hi Xiaohu

The breadth of the shaded area is 4cm (10-6).

As the slide the rectangle upwards till its top edge touches the top of the square, it moves a distance of 6cm.

Therefore the breadth of rectangle is equal to 4+6 which is 10.

Alternatively, you may slide the square down till its lower side touches the lower side of the rectangle.

Best wishes

Hi Tianzhu,
If the rectangle's breadth is indeed 10, then yes, moving to the top or bottom will move 6cm up or 4cm down.

Please see the figure I draw, these are to the scale of mm. The square is same 10mmx10mm as the original question's. The rectangle is bigger at 20mmx 30mm. The perimeter of the rectangle is 100mm. So for this new diagram, the rectangle still moves a distance of 6mm if you slide the rectangle up but it does not make the breadth 10mm, right?

http://i44.tinypic.com/4uzbww.gif\">

Is there supposed to be another guess-&-check strategy in order to get the breadth of the rectangle, using the information of the given perimenter to be 52?


TIA,
Xiao Hu

[zico]

Is there a algerbra way to solve this?

[tianzhu]

Hi moderators


Please help to delete.

Best wishes

[Xiao Hu]

tianzhu:

Xiao Hu:

Is there supposed to be another guess-&-check strategy in order to get the breadth of the rectangle, using the information of the given perimenter to be 52?
TIA,
Xiao Hu

Hi Xiao Hu.

This question has multiple answers.

Let's wait for TS to tell us what is the expected response from the WS or school.

Best wishes

Hi Tianzhu,
Er, who is TS? Wasn't the question from \"clblinym\"? I was like 喧宾夺主!!
But that's exactly what I thought when I first read the question, that it should have more than 1 answer.

Thanks for your generous help and expertise in this forum.
Xiaohu.

[tianzhu]

Xiao Hu:

Er, who is TS? Wasn't the question from \"clblinym\"?

Hi Xiao Hu

Good Morning.

TS refers to Thread /Topic starter. It is similar in meaning to OP (Original poster).

Best wishes

[wintay]

Can anyone help to solve the problem sum below. Thanks


6 hats and 5 belts cost $150. 5 hats and 6 belts cost $147. What is the cost of one belt?