MEDIUM
10th CBSE
IMPORTANT
Earn 100

The sum of the areas of two squares is 640 m2. If the difference in their perimeter be 64 m, find the sides of the two square.

Important Questions on Quadratic Equations

HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 64
The length of a rectangle is thrice as long as the side of a square. The side of the square is 4 cm more than the width of the rectangle. Their areas being equal, find their dimensions.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 65
A farmer prepares rectangular vegetable garden of area 180 sq. meter . With 39 meter of barbed wire, he can fence the three sides of the garden, leaving one of the longer sides unfenced. Find the dimensions of the garden.
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 66

The area of a right triangle is 600 cm2.

If the base of the triangle exceeds the altitude by 10 cm, find the dimensions of the triangle.

MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 67
The area of right-angled triangle is 96 sq. meter. If the base is three time the altitude, find the base.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 68
The area of right -angled triangle is 165 sq. metres. Determine its base and altitude if the latter exceeds the former by 7 metres.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 69
The hypotenuse of a right-angled triangle is 20 meter. If the difference between the lengths of the other sides be 4 meter, find the other sides.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 70
The length of the hypotenuse of a right-angled triangle exceeds the length of the base by 2 cm and exceeds twice the length of the altitude by 1 cm. Find the length of each side of the triangle.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 71
The hypotenuse of a right-angled triangle is 1 meter  less than twice the shortest side. If the third side 1 meter more than the shortest side, find the shortest side, find the sides of the triangle.