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secondary 2 | Maths
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LZmath
LZmath

secondary 2 chevron_right Maths chevron_right Singapore

Please help with (a) and (b) urgent thanks!

Date Posted: 4 weeks ago
Views: 18
snell
Snell
4 weeks ago
dia. = diagonal of rect. = 10 cm

length: x + 2
breadth: x
diagonal = √[ (x+2)² + x² ]

(x+2)² + x² = 100
x² + 4x + 4 + x² = 100
x² + 2x - 48 = 0
(x+8)(x-6) = 0
x = 6 cm or x = -8 (rejected)

(a)
length is 6+2 = 8 cm


(b)
area rect. = 8x6 = 48 cm²

area circle = π x 25 = 25π cm²

area of shaded region
= 25π - 48 = 30.5 cm²


...
J
J
4 weeks ago
The diagonal is 10cm because it's the diameter of the circle. Idea is to use Pythagoras' theorem

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Eric
Eric's answer
22 answers (A Helpful Person)
1st
Combine your unknown x into an equation and solve for x.

The answer provide the length of the rect.