Advertisements
Advertisements
Question
36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is ______.
Options
12 units
26 units
24 units
36 units
Advertisements
Solution
36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is 26 units.
Explanation:
From the question, it is given that, area of rectangle = 36 units2
36 can be written as = 6 × 6
= (2 × 3) × (2 × 3)
= 22 × 32
= 4 × 9
Then, the sides of the rectangle are 4 cm and 9 cm.
We know that, perimeter of the rectangle = 2 (length + breadth)
= 2(4 + 9)
= 2(13)
= 26 units
APPEARS IN
RELATED QUESTIONS
The perimeter of a rectangle is 46 m and its length is 15 m. Find its :
(i) breadth
(ii) area
(iii) diagonal.
The length of a rectangle is 16 cm and its perimeter is equal to the perimeter of a square with side 12.5 cm. Find the area of the rectangle.
Each side of a rectangle is doubled. Find the ratio between :
(i) perimeters of the original rectangle and the resulting rectangle.
(ii) areas of the original rectangle and the resulting rectangle.
In each of the following cases, ABCD is a square and PQRS is a rectangle. Find, in each case, the area of the shaded portion.
(All measurements are in metre).
(i)
(ii)
A rectangular field has length = 160m and breadth = 120 m. Find:
(i) the perimeter of the field.
(ii) the length of fence required to enclose the field.
(iii) the cost of fencing the field at the rate of? 80 per meter.
Find the perimeter of an equilateral triangle of side 9.8 cm.
The perimeter of a square is 60 m, find:
(i) its each side its area
(ii) its new area obtained on increasing
(iii) each of its sides by 2 m.
The cost of flooring a hall of ₹64 per square meter is ₹2,048. If the breadth of the hall is 5m, find:
(i) its length.
(ii) its perimeter.
(iii) cost of fixing a border of very small width along its boundary at the rate of ₹60 per square meter.
Find the perimeter of the following figure
Length of a rectangle is three times its breadth. Perimeter of the rectangle is 40 cm. Find its length and width.
