Question
The length of a rectangle is 5 metres more than its width. If the perimeter of the rectangle is 50 metres then what is the area (in m2Β ) of the rectangle?
Solution
Let the width of the rectangle = βxβ metres Then, length of the rectangle = (x + 5) metres Perimeter of the rectangle = 2 Γ (length + width) Or, 2 Γ (x + x + 5) = 50 Or, 2x + 2x + 10 = 50 Or, 4x = 50 β 10 = 40 Or, x = 40/4 = 10m So, area of the rectangle = x Γ (x + 5) = 10 Γ 15 = 150 m2
More Mensuration Questions
- The ratio of the number of English books to Hindi books in a library shelf is 5:3. If 108 Hindi books are written by Pradeep, which constitutes 36% of the ...
- Find out the diameter of the incircle of a given triangle with a semi-perimeter of 24 cm and an area of 72 cmΒ².
- The volume of the conical tent is 1232 m3 and the area of its base is 154m2.Find the length of canvas required to build the tent. If the width of canvas is...
- Perimeter of a square is equal to the perimeter of a circle that is 704 cm. Find the ratio of the side of the square to the radius of the circle.
- A hemisphere has a radius of 6.2 cm. Find its total surface area (use Ο = 3.14) (round off to two decimal places).
- The circumference of a circle is 44 cm and the length of the rectangle is 4 times the radius of the circle. Find the area (in cm2) of the rectangle, if the...
- Circumference of one of the bases of a right circular cylinder is 88 cm. If height of the cylinder is 7 cm more than its radius, then find the volume (in c...
- The ratio of length to breadth of a rectangle is 8:5. When the length and breadth of the rectangle is increased by 22% and decreased by 30% respectively, t...
- The area of a rectangular field is 4374 m2 and its length to breath is in the ratio of 3:2. What is the perimeter of the field?
- How do you calculate the lateral surface area of a right circular cone if its diameter is 12 cm and its height is 8 cm?
