Question

length of a rectangular field is 15 metre and diagonal of length 17 metre find its area and perimeter​

Answer 1

Answer:

Length of the field - 15m

Diagonal of the field -17m

By pythagorean theorem

17² = 15²+BC²

289 = 225 +BC²

289 - 225 = BC²

64 = BC²

BC = √64

BC = 8m

Area of rectangle = l × b

8 × 15 = 120 m²

Perimeter = 2(l+b)

2(15+8) = 2×23 = 46m

Follow me for more help

Answer 2

Answer:

Area of the rectangular feild = 120 cm²

Perimeter of rectanglular field = 46 cm

Step-by-step explanation:

given that,

length of a rectangular field is 15 m

and,

diagonal of the rectangle = 17 m

we know that,

in a rectangule

all Angle are of 90°

so,

disgonal² = length² + breadth²

breadth² = diagonal² - length²

breadth² = 17² - 15²

breadth² 289 - 225

breadth² = 64

breadth = √64

so,

breadth = 8 cm

now,

we know that,

area of a rectangle = length × breadth

putting the values,

area = 15 × 8

= 120 cm²

now,

perimeter of a rectangle

= 2(length + breadth)

= 2(15 + 8)

= 2(23)

= 46 cm

so,

________________

Area of the rectangular feild

= 120 cm²

Perimeter of the rectanglular feild

= 46 cm