Find the area of a rectangular plot,oneside of which measures 35m and the daiagonal is 37m
Answers
★Reference of image is in diagram :
• Each angle of rectangle is of 90°
•Also; we use Pythagorus theorem [sum of squares of two sides of a right angled triangle is equal to the third side].
• Area of rectangle = length × Breadth
Answer:- 420 m ²
Step-by-step explanation:
Given: Length of one side is 35 metre
- Length of diagonal is 37 metre
To find: Area of rectangle ABCD
★We know that each angle of a rectangle is 90° ★
→ In right angle ∆BCD , BC = 35m and DB= 37m
So, By Pythagoras theorem,
(DB)² = (BC)² + (DC)²
DB² = 35² + DC²
37² =35² + DC²
1369 = 1225 + DC²
1369–1225 = DC²
144 = DC²
√144 = DC
12 metre = DC
★As we know that the opposite sides of a rectangle are equal to each other ★
So, AB= DC=12 metres and AD= BC = 35 metres
- Area of rectangle= Length x Breadth
Length = AB = DC = 12 m
Breadth= AD = BC = 35 m
So, Area of rectangle ABCD = 12 x 35 = 420 m²