The length of a rectangle is 12cm great her than twice it’s width. if the perimeter of the rectangle is 48 cm, calculate it’s length and width.

length = 20cm and width = 4cm✔️

Step-by-step explanation:

Perimeter of a rectangle = 2length + 2width } Equation 1

Since we know the length is 12cm greater than twice its width:

length = 2width + 12cm } Equation 2

We can substitute this value for length in the equation 1 :

Perimeter = 2(2width + 12cm) + 2width

Perimeter = 4width + 24cm + 2width = 6width + 24cm

Since we know the perimeter is 48cm, we can substitute here :

48cm = 6width + 24cm

6width = 48cm - 24cm = 24cm

width = 24cm/6 = 4cm✔️

Now we can substitute this value in the equation 2

length = 2width + 12cm } Equation 2

length = 2x4cm + 12cm = 8cm + 12cm = 20cm✔️

length = 20cm and width = 4cm✔️

Perimeter = 2length + 2width

Perimeter = 2x20cm + 2x4cm = 40cm + 8cm = 48cm✔️ checked!

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.