A rectangular carpet has an area of 120 square meters and perimeter of 46m The length of its diagonal is:
Answer: 17m
Explanation
17m
Area of the rectangular carper =120 cm2
Perimeter =46 m
2(l+b)=46
(l+b)=46/2
l+b=23
And, length × breadth=120Now, we know that :
(l−b)2=(l+b)2−4lb
(l−b)2=(23)2−4×120
(l−b)2=529−480
(l−b)2=49
(l−b)2=(7)2
Hence, l−b=7
And l+b=23
By adding, we get 2
This question appeared in
Past Papers (3 times)
FIA Assistant Director Past Papers (1 times)
FIA Past Papers (1 times)
FPSC Past Papers (1 times)
This question appeared in
Subjects (1 times)
MATHS MCQS (1 times)
Related MCQs
- A rectangular front-wall of a hospital has a perimeter equals to 294 meters. If it's length is 85 meter find its area?
- A farmer has a rectangular field with a perimeter of 120 meters. If the length is 40 meters what is the width of field?
- A rectangular lawn 80 meters by 60 meters has two roads each 10 m wide running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the cost of gravelling them at Rs. 30 per square meter?
- A square field has area 16 cm², then length of diagonal is _____?
- The perimeter of a rectangular field is 66 meters. If the length of this field is 15 meters, find the width of the field?
- If the length of a square shaped crop field is 31 meters, what will be its perimeter?
- A rectangle has 15 cm as its length and 150 cm² as its area. Its area is increased to 1 1/3 times the original area by increasing only its length. The new perimeter is ______?
- The ratio of the area of a square to that of the square drawn on its diagonal is?
- The ratio between the length and breadth of a rectangular park is 3:2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then what is the area of the park (in square meter)?
- The length of the base and altitude of a triangle is 152 cm and 38 cm respectively. If the area of a square is double the area of this triangle, find the length of the square?
