Construct a triangle ABC, right angled at B and the sides BC = 4cm and AC = 5cm. Measure side AB.
1 answer:
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Answer:
The length of sides of one square is 5cm and length of sides of another square is 9cm
Step-by-step explanation:
Let the length of rectangle be x and width of rectangle be y.
We have given,
Area of rectangle = 45 cm²
i.e. Area of rectangle = x·y = 45 or xy = 45 ---------(1)
Next, two squares are constructed from two adjacent sides of rectangle.
i.e Side length of one square will be x and side length of another square will be y.
Area of one square = x²
And area of another square = y²
According to problem,
Sum of area of two squares is 106 cm²
∴ x²+y² = 106 ---------------(2)
From equation (1) and (2) , we can find x and y.
xy = 45 or x = , Plug this in equation (2).
We get,
x² + y² = 106
or
or
or
On solving this equation we get ,
y²=81 or 25
or y = 9 or 5
for y =9 , x=
or for y = 5 , x =
Hence the length of sides of one square is 5cm and length of sides of another square is 9cm
Answer:
The dimensions of rectangular table are length = 79 centimeters and width = 261 centimeters.
Step-by-step explanation:
Given:
The perimeter of the rectangular table is 680 centimeters.
Now, to find the dimensions:
Let, the width of rectangular table be
And the length of the table be
Now, putting the formula of perimeter of rectangle to get the dimensions:
Perimeter = 2(length + width)
By subtracting both sides with 48 we get:
Now, dividing both sides by 8 we get:
So, width of the table = 79 centimeters.
And, length of the table = 24+3×79
= 24+237
= 261 centimeters.
Therefore, the dimensions of rectangular table are length = 79 centimeters and width = 261 centimeters.