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## Question

primary 5 | Maths | Percentage
2 Answers Below

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##### Nicole

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Please show working. Thanks

Date Posted: 2 weeks ago
Views: 12
J
2 weeks ago
length PQ = 3 units, breadth PS = 2 units

2 units = 28cm
1 unit = 28cm ÷ 2 = 14cm

PQ = 3 units = 14cm x 3 = 42cm

Or

If breadth is ⅔ of length, then length is 3/2 of breadth.

So PQ = 14cm x 3/2 = 42cm

TU = 1/6 of PQ
= 1/6 x 42cm
= 7cm

Height of shaded triangle
= 28cm - TU
= 28cm - 7cm
= 21cm

Area of shaded triangle
= ½ x base x height
= ½ x 42cm x 21cm
(since base is same as length of rectangle)
= 441cm²

Area of rectangle
= Length x breadth
= 42cm x 28cm
= 1176cm²

Unshaded area

= Area of rectangle - area of shaded triangle

= 1176cm² - 441cm²
= 735cm²

### See 2 Answers

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##### Ac Lim's answer
2307 answers (A Helpful Person)
1st
Hope this helps
Date Posted: 2 weeks ago
J
2 weeks ago
The TU is 1/6 of the length PQ instead of the breadth. So the height of the triangle would be 28cm - 7cm = 21 cm instead
AC Lim
2 weeks ago
Thanks J for highlighting the mistake
J
2 weeks ago
No problem
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##### Ac Lim's answer
2307 answers (A Helpful Person)
Hope this helps
Date Posted: 2 weeks ago