Advertisements
Advertisements
Question
Find the perimeter of a rectangle with length = 24 cm and diagonal = 25 cm
Advertisements
Solution
Length of a rectangle (l) = 24 cm, Diagonal = 25 cm
Let breadth of the rectangle = b m
Applying Pythagoras Theorem in triangle ABC,
We get, (AC)2 = (AB)2 + (BC)2
(25)2 = (24)2 + (b)2
625 = 576 + (b)2
625 – 576 = b2
49 = b2
`sqrt(7xx7)` = b
∴ b = 7 cm
Now, perimeter of the rectangle
= 2(1 + b)
= 2(24 + 7)
= 2(31)
= 62 cm
APPEARS IN
RELATED QUESTIONS
The lengths of the sides of two squares are in the ratio 8:15, find the ratio between their perimeters.
If P denotes perimeter of a rectangle, l denotes its length and b denotes its breadth, find:
P, if l = 2 m and b = 75cm
Find the perimeter of the following figure:
The area of a rectangular shaped photo is 820 sq.cm. and its width is 20 cm. What is its length? Also find its perimeter
If we take 2 rounds of a field, that is 340 m long and 160 m wide. Find the distance covered in kilometers?
Is the perimeter of the yellow shape more than the perimeter of the blue shape? Why?
Sanya, Aarushi, Manav and Kabir made greeting cards. Complete the table for their cards:
| Whose card | Length | Width | Perimeter | Area |
| Sanya | 10 cm | 8 cm | ||
| Manav | 11 cm | 44 cm | ||
| Aarushi | 8 cm | 80 square cm | ||
| Kabir | 40 cm | 100 square cm |
The side of a square is 10 cm. How many times will the new perimeter become if the side of the square is doubled?
Match the following:
| Shapes | Perimeter |
(A)  |
(i) 10 |
(B)  |
(ii) 18 |
(C)  |
(iii) 20 |
(D)  |
(iv) 25 |
A polygon with sides 100 m, 120 m, 90 m, 45 m, 60 m, and 80 m has a perimeter of:
