12 Constructions and Loci
12 Constructions and Loci
12 Constructions and Loci
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<strong>12</strong>.3<br />
MEP Y9 Practice Book B<br />
10. A ladder has length 4 m. It initially leans against a vertical wall with its<br />
base on horizontal ground.<br />
The ladder slides down until it is lying horizontal on the ground.<br />
Draw the locus of the midpoint of the ladder, using a suitable scale drawing.<br />
11. Some pupils want to plant a tree in the school's garden.<br />
The tree must be at least <strong>12</strong> m from the school building.<br />
It must also be at least 10 m from the centre of the round pond.<br />
(a) Show accurately on a copy of the following plan the region in which<br />
the tree can be planted.<br />
SCALE 1 cm to 2 m<br />
Shade in this region.<br />
(b) The pupils want to make<br />
a gravel path of width<br />
1 m around the pond.<br />
Calculate the area of<br />
the path.<br />
Show your working.<br />
98<br />
Pond<br />
2 m<br />
School<br />
Buildings<br />
Fence<br />
(KS3/97/Ma/Tier 6-8/P2)
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