Question

perimeter of a square whose diagonal is 23 root 2 metres is equal to the perimeter of rectangle if the difference between length and width of the rectangle is 8cm what is the area of the rectangle​

Answer 1

Answer:

diagonal of square is 23root 2 metres .all sides of the square are equal .A diagonal divides the square into to equal right angled triangles with diagonal as the hypotenuse .let the sides be x

by pythagorean theorem:x²+x²=(23root2)²

2x²=1058

x²=529

x=23

each side is 23m

perimeter =4×23

92

• the rectangle has the same perimeter
• 2(length + width)=92
• length +width=46
• given:width=length-8m
• let length be x
• width is x-8
• x+x-8=46
• 2x=54
• x=27
• x-8=19
• the dimensions are 27m and 19m
• area = length × width
• 27×19
• 513m²
• hope you got it
• your unit wasn't specified
• so I took it as metres
• please mark me the brainliest