Question

A rectangle measures 8 cm by 6 cm. On the shorter sides two equilateral triangles are constructed
outside the rectangle.Two right-angled isosceles triangles are constructed outside the rectangle with
the longer sides as the hypotenuse. Find the total area and perimeter of figure.​

Answer 1

we draw this diagram by given information

Step-by-step explanation:

Here ABCD is a rectangle , AB = CD = 8 cm and BC = AD 6 cm

And

BCE and ADG are equilateral triangle , BC = BE = CE = AD = AG = DG = 6 cm

And

ABH and CDF are right angled isosceles triangle , Hypotenuse AB = CD = 8 cm , Let AH = BH = CF = DF = x

Now we apply Pythagoras theorem in triangle ABH and get

AH 2 + BH2 = AB2

x 2 + x 2 = 82

2 x 2 = 64

x 2 = 32

x = 32−−√

x = 4 2√

So,

AH = BH = CF = DF = 4 2√

We know Area of rectangle = Length × Breadth , So

Area of ABCD = 8 × 6 = 48 cm2

And

Area of triangle = 12 × Height × Base , So

Area of triangle ABH = Area of triangle CDF = 12 × 4 2√× 4 2√ = 16 cm2

And

Area of equilateral triangle = 3√4×(Side)2 , So

Area of triangle BCE = Area of triangle ADG = 3√4×(6)2 = 3√4×36 = 93√ = 9 × 1.732= 15.588 ≈ 15.59 cm2

So,

Area of our figure AHBECFDG = Area of ABCD + Area of triangle ABH + Area of triangle CDF + Area of triangle BCE + Area of triangle ADG

Area of our figure AHBECFDG = 48 + 16 + 16 + 15.59 + 15.59 = 111.18 cm2 ( Ans )

Perimeter of our figure AHBECFDG = AH + BH + BE + CE + CF + DF + DG + AG = 4 2√ + 4 2√ + 6 + 6 + 42√ + 4 2√ + 6 + 6 = 24 + 162√ = 24 + 22.63 = 46.63 cm

hope it will help you

plz mark my ans as brainliest

Answer 2

Step-by-step explanation:

is essential to developing countries also indicates that investments in higher education contributed to increase in labor productivity and to higher long term economic growth essential for poverty alleviation. (World Bank, 1994, p.1). According to UNESCO, “higher education is no longer a luxury; it is essential to