Question

The breadth of a rectangular field is 9 metre. Its diagonal is 15
metre long. What will be the area of the rectangular field?
110 sq.m.
b. 108 sq.m.
b. C. 115 sq.m.
d. 120 sq.m. e. 135 sq.
ore than its broad-
a.​

Answer 1

Answer:

I think it's 115sq m.e option c

Answer 2

Answer :

• Area of rectangular field is 108m²
• Option (b)

Given :

• The breadth of a rectangular field is 9m
• Diagonal is 15m

To find :

• Area of rectangular field

Solution :

First we need to find the length of rectangular field using the Pythagoras theorem

• Let the length of rectangular field be l m

According to Pythagoras theorem know that,

• (H)² = (B)² + (P)²

Where,

• H is hypothenuse 15m
• B is base 9m
• P is perpendicular (l m)

》(Hypothenuse)² = (Base)² + (Perpendicular)²

》(15)² = (9)² + (l)²

》225 = 81 + l²

》l² = 225 - 81

》l² = 144

》l = √144

》l = 12m

Hence , Length of rectangular field is 12m

Now we have to find the area of rectangular field

As we know that,

• Area of rectangular field = l × b

Where , l is length and b is breadth

》Area of rectangular field = l × b

》12 × 9

》108 m²

Hence, Area of rectangular field is 108m²