Question

Draw a rectangle of perimeter 16 cm and sides in the ratio 3:4​

Answer 1

Answer:

What is the draw rectangle of a perimeter of 15 and the sides in the ratio 3:4?

Let L = length of rectangle

W = width of rectangle

P = perimeter of rectangle = 2*(L + W) = 15

W/L = 3/4 or W = (3/4)*L

Substituting W into perimeter equation,

2*[L + (3/4)*L) = 15

and solve for L

(7/4)* L = 15/2

L = (15/2)*(4/7) = 60/14 (or 30/7)

W = (3/4)*L = (3/4)*(30/7) = 45/14

checking, W/L = (45/14)/(60/14) = 3/4 check

P = 2*[L + W] = 2*[(60/14) + (45/14)] = 2*(105/14)

= 105/7

= 15 check

Therefore, L = 30/7 (or 60/14)

W = 45/14