The lengths of each side of two squares are given as 5 + √ 3 cm and 5 - √ 3 cm, respectively. What is the sum of the areas of these two square?
Given:
Side of the first square = cm
Side of the second square = cm
Formula Used:
Area of a square = Side2
Algebraic identity:
Solution:
Area of the first square =
Area of the second square =
Sum of the areas =
Using the algebraic identity where a = 5 and b =
Sum =
Sum = 2(25 + 3)
Sum = 2(28)
Sum = 56
Final Answer
So the correct answer is (a)
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90 Mins English English100 Questions100 Marks90 Mins English English100 Questions100 Marks90 Mins EnglishThe lengths of each side of two squares are given as (5 + √ 3) cm and (5 - √ 3) cm, respectively. What is the sum of the areas of these two square?
The lengths of each side of two squares are given as 5 + √ 3 cm and 5 - √ 3 cm, respectively. What is the sum of the areas of these two square?
If the perimeter of a square is doubled, then its area becomes
If the side length of a square decreases from 7 cm to 5 cm, find the percentage decrease in its area. (Rounded off to 2 decimal places.)
Find the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad.
Circumference of a circle is equal to the perimeter of a square. What is the ratio of area of circle to the area of square?
If the perimeter of the square is 64 cm, find the length of the side of the square.
If the side length of a square increases from 5 cm to 7 cm, find the percentage increasein its area.
The perimeter of a square is 14 cm. If each side of the square is increased by x cm, its area increases by 120 cm². What is the value of x?
Suggested Test Series
Suggested Test Series
The lengths of each side of two squares are given as (5 + √ 3) cm and (5 - √ 3) cm, respectively. What is the sum of the areas of these two square?
The lengths of each side of two squares are given as 5 + √ 3 cm and 5 - √ 3 cm, respectively. What is the sum of the areas of these two square?
If the perimeter of a square is doubled, then its area becomes
If the side length of a square decreases from 7 cm to 5 cm, find the percentage decrease in its area. (Rounded off to 2 decimal places.)
Find the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad.
Circumference of a circle is equal to the perimeter of a square. What is the ratio of area of circle to the area of square?
If the perimeter of the square is 64 cm, find the length of the side of the square.
If the side length of a square increases from 5 cm to 7 cm, find the percentage increasein its area.
The perimeter of a square is 14 cm. If each side of the square is increased by x cm, its area increases by 120 cm². What is the value of x?
