Question

The length of a rectangle is 7 more than its breadth its perimeter is 46cm find the length of its diagonal

Answer 1

$hey \: mate$

Answer 2

Answer:17 cm

Step-by-step explanation:

Let breadth= x

Length = y

According First condition

y = x +7 ......(i)

According to second condition

Perimeter = 46

2 ( x + y ) 46

x + y = 23 .......(ii)

Put value of y from eq. (i) in eq. (ii)

x + x + 7 = 23

2 x = 23 - 7

2x = 16

x = 8 cm

y = x + 7

y = 8 + 7

y = 15

Each angle of rectangle is of 90

Therefore according to Pythagoras theorem

lengths square + breadth square = diagonals square

(x)2 + (y)2 = (d)2

(15)2 + (8)2 = (d)2

225 + 64 =(d)2

289 = (d)2

17 = d

Diagonal of rectangle is 17 cm