Question

complete the following

Answer 1

We know that given figure is rectangle and therefore opposite sides will be equal.

$2y = x + 4$

$2x + y + 8 = 4x - y$

Simplify equation 1

$2y - x = 4$

Simplify equation 2

$2y - 2x = - 8$

Equate coefficients method

$2y - x = 4 \\ - 2y + 2x = + 8$

$x = 12$

Use in equation 1

$2y - 12 = 4$

$y = 8$

Length of rectangle= 4x-y= 40

Breadth of rectangle= 2y= 16

Area= l*b

$= 40 \times 16 = 640uni {t}^{2}$

Perimeter= 2(l+b)

$2(40 + 16) = 2 \times 56$

$= 112units$