Question

The perimeter of rectangle is 68cm. If the length of rectangle is 24cm, then its diagonal in cm will be​

Answer 1

Answer:

240 cm^2

Step-by-step explanation:

Let’s say the rectangle has side length of  x  and  y .

Perimeter:  2x+2y=68  

Diagonal:  x^2+y^2=262  

Area:  xy  

Using perimeter,  x+y=34  

(x+y)^2=x^2+2xy+y^2=342  

2xy+26^2=34^2  

xy=34^2−26^2/2=240cm^2  

Just for verification, the side length of the rectangle are  10cm  and  24cm  respectively.

Answer 2

Answer:

perimeter of rectangle = 68 cm

2(l+b) = 68

24+b = 34

b = 34-24 = 10 cm

using pythagoras theorem

h²= b²+p²

h²= 10²+24²

h²= 100+576

h²= 676

h²= 26²

h = 26 cm

diagonal = 26 cm

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