What is the value of x? O 2 units O 3 units O 5 units 08 units
1 answer:
Answer:
The value of x is 5 units ⇒ C
Step-by-step explanation:
In the given figure
∵ Δ ABC is a right triangle at vertex B
∵ AC is its hypotenuse
∵ BD ⊥ AC
∴ (BD)² = AD × DC
∵ BD = 10 units
∵ AD = x units
∵ DC = 4x units
→ Substitute them in the rule above
∴ (10)² = x × 4x
∴ 100 = 4x²
→ Divide both sides by 4
∵ =
∴ 25 = x²
→ Take √ for both sides
∴ 5 = x
∴ The value of x is 5 units
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Answer:
Length of rectangular strip = 12
area of rectangular strip = 2*12 = 24
Area of square = x^2 = 12^2 = 144
Step-by-step explanation:
Area of square x^2
area of rectangle is given by length * width
Length of rectangular strip = x
width of rectangular strip = 2
area of rectangular strip = length * width = 2*x = 2x
Area of square piece of paper when rectangular strip is taken away from it
= Area of square - area of rectangular strip
=
It is given that Area of square piece of paper when rectangular strip is taken away from it is 120 square units.
Thus,
Thus,
either x+10 = 0 or x -12= 0
x = -10 or x = 12
but length cannot be negative hence neglecting x = -10
hence value of x is 12.
Hence,
Length of rectangular strip = 12
area of rectangular strip = 2*12 = 24
Area of square = x^2 = 12^2 = 144