A campsite in the shape of a rectangle FGHI has sides (3x + 6) m and (x + 1) m, and the length of the diagonal FH is (4x + 1) m. Find the area of the campsite.
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Answered by
1
Answer:
Answer:168m²
Step-by-step explanation:
Using Pythagoras theorem,
Diagonal length² + breadth²
16x²+8x²+1 = 10x²+38x+37 (4x+1)²-(3x+6)²+(x+1)²
6x²-30x-36-0
x²-5x-6=0
x=6 or x= -1 (rejected as length can't be
negative) Length of the campsite = (3*6)+6=24m
Breadth of campsite = (6+1) = 7m
Area = 24*7 = 168m².
Answered by
3
Answer:
Answer:168m²
Step-by-step explanation:
Using Pythagoras theorem,
Diagonal² = length² + breadth²
(4x+1)=(3x+6)²+(x+1)² 16x²+8x²+1 = 10x²+38x+37
6x²-30x-36-0
x²-5x-6=0
x=6 or x= -1 (rejected as length can't be negative)
Length of the campsite = (3*6)+6=24m
Breadth of campsite = (6+1) = 7m
Area = 24*7 = 168m².
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