(60 Points)Hey Mate!!Answer this to be the brainliest
No.42 and 42...
I want step by step process
Answers
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Q.42 PART 1 AREA
In isosceles right triangle ABE we have
AB = 10 cm
it is a isosceles triangle so,
EA = EB = x cm (say)
by Pythagoras theorem we have
x^2 + x^2 = 10^2
2x^2 = 100
x^2 = 50
x = 5√2 cm
hence
EA = EB = 5√2 cm
similarly GC = GD = 5√2 cm
We know that
area of triangle = 1/2 * base * height
area of triangle ABE = 1/2 * 5√2 * 5√2
= 25 cm^2
similarly area of triangle DCG = 25 cm^2
again we know that ,
area of equilateral triangle is √3/4 a^2
area of equilateral triangle AHD = √3/4 8^2
= 16√3 cm^2
similarly area of equilateral triangle BFC = 16√3 cm^2
again we know that area of rectangle is length * breadth
area of rectangle ABCD = 8 * 10
= 80 cm^2
area of whole figure = {area of rectangle ABCD + area of equilateral triangle BFC + area of equilateral triangle AHD + area of triangle DCG +area of triangle ABE} cm^2
= {80 + 16√3 + 16√3 + 25 + 25} cm^2
= {130 + 32√3} cm^2
= {130 + 55.42562584220407} cm^2
= 185.42562584220407 cm^2
PART 2 PERIMETER
Perimeter of figure = {AE + EB + BF + CF + CG + GD + DH + HA} cm
={5√2 +5√2 + 8 + 8 + 5√2 + 5√2 + 8 + 8} cm
= {32 + 20√2} cm
= {32 + 28.2842712474619} cm
= 60.2842712474619 cm
I have tried my best for that and Q.no 43 has no figure so i could not solve that Please mark as brainliest