The ratio of length to breadth of a rectangular field is 4:3. If it's diagonal is 200m then the area of the field
Answers
Answered by
30
let l= 4x
let b= 3x
LOOK AT THE FIGURE GIVEN
from the figure
AC² =AB²+BC² (∠B= 90° SO PYTHAGORAS THEOREM)
200²= (4x)² +(3x)²(putting the values)
4000/25=x²
40 =x
thus sides are 3x=120m and 4x=160m
area = lxb
120 x 160 =19200m²
Attachments:
Answered by
24
GIVEN:
- The ratio of length and breadth of a rectangular field is 4:3
- The diagonal of the rectangular field = 200 m
TO FIND:
- What is the area of the field ?
SOLUTION:
Let 'x' be the common in given ratios
- Length = 4x
- Breadth = 3x
☞ To find the Length and breadth of the rectangular field, we use the Pythagoras theorem
✫ (Hypotenuse)² = (Base)² + (Perpendicular)² ✫
On putting the values in the formula we get
- Length = 4x = 4(40) = 160
- Breadth = 3x = 3(40) = 120
Now, we have to find the area of the field
To find the area of the rectangular field, we use the formula:-
✬ Area of Rectangle = Length Breadth ✬
According to question:-
❝ Hence, the area of rectangular field is 19200 m² ❞
____________________
Similar questions