Questions Figures A to E are made up of 1-cm squares. ز g 3 18 F 7 10 С 10 10 A 10 B D E (a) Find the perimeters of figures A to E. (b) What do you notice about the perimeters of figures B to E compared to the shape of figure A?
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Answer:
Given:
Diagonal =32cm , Base=8cm , side=6cm
⇒Area of square
=
2
1
×(d)
2
=
2
1
×(32)
2
=512cm
2
⇒Area of shaded portion I= Area of shaded portion II
⇒
2
512
=256cm
2
∴ Area of paper required =256 cm
2
⇒For triangle III region
⇒S=
2
6+6+8
=10cm
⇒A=
s(s−a)(s−b)(s−c)
⇒Area =
10(10−6)(10−6)(10−8)
=
10×4×4×2
cm
2
⇒A=4×2
5
cm
2
=17.92 cm
2
Area of paper required for III triangle shade=17.92 cm
2
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