In the figure, ABCD and BPQD are squares. AB I metre(a) What is the area of the square BPQD?(b) What is the length of BD?
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Given : ABCD is a square
BPQD is a square
AB = 1 m
To Find : Length of BD
Area of Square BPQD
Solution:
All the sides of a square are equal
and all the angles are right angles
Diagonal of square = √2 * side of square
Area of square = (side)²
ABCD is a square
AB = 1 m
=> AB = BC = CD = AD = 1 m
AC and BD are diagonals
Hence AC = BD = √2 m
Length of BD √2 m
BPQD is a square
BP = PQ = QD = BD = √2 m
Area of square BPQD = (√2)² m²
=> Area of square BPQD = 2 m²
area of the square BPQD is 2 m²
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root 2. u got it I think this is the answer
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