Advertisements
Advertisements
Question
The diagonal of a square is 12 cm long; find its area and length of one side.
Solution
Let side of square = a cm
diagonal = 12 cm
By Pythagoras Theorem, a2 + a2 = (12)2
2a2 = 144
a2 = 72
Area of square = a2 = 72 cm2
a2 = 72
a = `sqrt(72)` = 8.48 cm
APPEARS IN
RELATED QUESTIONS
The diagonal of a square is 15 m; find the length of its one side and perimeter.
A path of uniform width, 3 m, runs around the outside of a square field of side 21 m. Find the area of the path.
The table given below contains some measures of the square. Find the unknown values.
Side | Perimeter | Area |
6 cm | ? | ? |
The side of a square is 10 cm. If its side is tripled, then by how many times will its perimeter increase?
Find the perimeter of the following figure
1 sq cm = ______ cm × 1 cm.
1 sq m = ______ sq cm.
Parmindar walks around a square park once and covers 800 m. What will be the area of this park?
The perimeter of a square garden is 48 m. A small flower bed covers 18 sq m area inside this garden. What is the area of the garden that is not covered by the flower bed? What fractional part of the garden is covered by flower bed? Find the ratio of the area covered by the flower bed and the remaining area.
Three squares are attached to each other as shown in the figure given below. Each square is attached at the mid-point of the side of the square to its right. Find the perimeter of the complete figure.