Note: FE: ED = 2 : 1, and that triangle FEC and triangle EDC has the same height. Therefore, the ratio of their areas is equal to the ratio of their bases. That is, Area FEC : Area EDC = 2: 1.
Since area of square is 50, then Area EDC = 25.
Hence, Area of triangle FEC = 50.
6 years ago
Jeannie Ng
FE: ED is 2:1
Areas of square = 1x 1 unit = 1 square unit = 50 square units.
Area of triangle = 1/2 x FE x CD = 1/2 × 2 ×1
= 1 square unit = 50 square units too
6 years ago
Serene Koon
We get 50 too but model ans is 100cm2. Thanks for the confirmation of ans 50cm2
6 years ago
Lucie Ng
Area of rectangle ACDF = 50 cm x 3 = 150 sq.cm (since FD is thrice of ED which is = CD, & AF = CD). Area of ∆CDE = 50 sq.cm ÷ 2 = 25 sq. cm. Area of ∆ ACF = 1/2 x Area of rectangle ACDF = 75 sq cm. Therefore, area of ∆FCE = Area of Rectangle ACDF - Area of ∆CDE - Area of ∆ACF = 150 - 25 - 75 = 50 sq cm (Ans.)
6 years ago
Linda Lau
Asked 9 years ago
SG
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Primary 3
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Number and Algebra
Can anyone tell me its divide by 4 or 5? Logically shld be divide by 5 right? But why answer is divide by 4?? Dun understand...need help...
Replies
22
Darryl Seah
Divide by 5. Sharon + 4 friends make 5 people. Key phrase is "equally WITH". Tricky but common. P3 level.
6 years ago
Alice Lieu
Agree. Should be divided by 5.
6 years ago
Linda Lau
Ya..my daughter divide by 5 too..but answer divide by 4..faint!!
6 years ago
Nicole Lim
Because Sharon didn't keep any for herself.
6 years ago
Linda Lau
Wa..this is testing P3 students on Math or english? Very stress!!
6 years ago
Norah Hanns
"How many stamps did EACH FRIEND receive?"
So the clue might be "EACH FRIEND".
Divide by 4.
6 years ago
Yueh Mei Liu
If the question intended it to be divided by 4, then it's better to be phrased as 'gave to 4 friends'. Shared with 4 friends can imply Sharon is involved. Phrasing is not clear. If it's assessment book qn, ignore it. If it's school worksheet, clarify with teacher.
6 years ago
Zhong Shu Hao
PSLE would be very clear :D
6 years ago
DonaldNaomi Innes
Sharon is not her friend so each friend implies only divide by 4.
6 years ago
靖雯 黄
"Equally with" 4+1
"Equally among her friends" 4
"Gave her friends" 4
These are the key words to look for.
If not clarify with school teachers since they are the markers for the test papers.
6 years ago
Tan Weiqiang
Poor phrasing...causes confusion..check with the teacher..
6 years ago
Karen Lee
Shared equally should mean divide by 5. Maybe mistake in answer.
6 years ago
Linda Lau
Its from assessment book by Andrew Er..
6 years ago
Linda Lau
Maybe our group got a Andrew Er who wrote this book??
6 years ago
Tan Weiqiang
Point is this.. No point debating if it's divide by 4 or 5...point is.. Question should be rephrased... a question that leaves room for such debate will not be allowed to be published in the examination paper in schools..at least not for me.. Lolz.
6 years ago
Karen Lee
Tan Weiqiang, sad to say they use such phrasing to confuse the kids, i had encountered similar questions before and learnt thru mistakes.
6 years ago
Aurelia Tan
This was an issue in the past. It will be phrased quite clearly in the exams. If it isnt, the child should ask the invigilator.
6 years ago
Tan Weiqiang
Don't worry Karen Lee... This is really a thing of the past.. No more such stuff in schools.. Trust me
6 years ago
Tan Weiqiang
Agree with Aurelia Tan completely
6 years ago
Yueh Mei Liu
It's common to see mistakes in assessment books. They are not regulated. By and large, they are fine. However, good to be discerning to questions as well as methods. Overly difficult questions are not necessarily good questions.
6 years ago
Tan Weiqiang
Yup yup.. Very good clarification Yueh Mei.. The same goes for the questions on circles.. Lolz
6 years ago
Huixian Lu
Based on how I interpret the phrase, I would divide the number by 5 too. It says Sharon shared the stamps equally with 4 friends, meaning she would have a share of the stamps as well. If she did not have a share, then the word 'share' should not have been used. I would take assessment book answers with a pinch of salt. I've seen my fair share of mistakes in their model answers.