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If a = 4 units and b = 3 units, the length of the diagonal of the outside square rounded to the nearest tenth is

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3 votes
use pythagorean theorem
a^2+b^2=c^2
4^2+3^2=c^2
16+9=c^2
25=c^2
c=5
hope this helps!
User Himan Dhawan
by
8.4k points
3 votes

Answer with explanation:

Two Adjacent Sides of Rectangle are, a=4 units, and , b=3 units

Diagonal of rectangle


=√(4^2+3^2)\\\\=√(25)\\\\=5

→Diagonal of Rectangle = 5 units, which is the side of Square lying outside the rectangle.

Length of Diagonal of Square


=√(5^2+5^2)\\\\=√(50)\\\\=5√(2)

Diagonal of Square formed from rectangle of side 4 cm and 3 cm =5 × 1.414

= 7.070 units

=7.07 units

If a = 4 units and b = 3 units, the length of the diagonal of the outside square rounded-example-1
User Nishant Lakhara
by
7.8k points

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