Question

In rectangle ABCD, AB = 4x – 2y, BC = x + 2y + 5, CD = 3x + y + 6, AD = 3x – y -1 then find the length, breadth and perimeter of that rectangle. (For more options scroll the screen.) *​

Answer 1

Step-by-step explanation:

Correct option is

A

One of the sides of the rectangle is 15 cm long

B

Each diagonal of the rectangle is 39 cm long

C

Perimeter of the rectangle is 102 cm

eq(1) multiplied by 3

 3x−3y=−9eq(2)

on adding both equationswe get

6x+3y=45

 3x−3y=−9

_____________________

9x=36

x=4

puting x=4 in eq(1)

2×4+y=15

 y=7

AB=5x+2y+2

=5×4+2×7+2=20+14+2=36

BC=x+y+4

=4+7+4=15

So, perimetre =2(36+15)

                        =102

Area==36×15=540

Diagonal==152+362=1521=39

so a b c poin ts are corre ct.