Question

One side of a rectangular field is 15 m and one of its diagonal is 17 m. Find the area of the field. ​

Answer 1

✬ Area = 120 cm² ✬

Step-by-step explanation:

Given:

• Length of one side of a rectangular field is 15 m.
• Length of diagonal of field is 17 m.

To Find:

• What is the area of field ?

Solution: Let ABCD be a rectangular field where.

• AB = one side of 15 m.
• AC = diagonal of 17 m.

Now, in right angled triangle ABC we have

• BC = Perpendicular
• AB = Base
• AC = Hypotenuse

Applying Pythagoras Theorem in ∆ABC

★ H² = B² + P² ★

$\implies{\rm }$ AC² = AB² + BC²

$\implies{\rm }$ 17² = 15² + BC²

$\implies{\rm }$ 289 = 225 + BC²

$\implies{\rm }$ 289 – 225 = BC²

$\implies{\rm }$ 64 = BC²

$\implies{\rm }$ √64 = BC

$\implies{\rm }$ √8 $\times$ 8 = BC

$\implies{\rm }$ 8 = BC

So, The meaure of other side of rectangle i.e breadth is 8 cm.

As we know that

★ Ar. Rect = Length • Breadth ★

➭ Area of ABCD = AB (BC)

➭ 15(8)

➭ 120 cm²

Hence, Area of rectangular field is 120 cm².

Answer 2

Find the picture attached below for the answer