Question

The length of the rectangle below are all in centimeters. a. Work out the value of x and y b. Work out the area and perimeter of the rectangle

Answer 1

Step-by-step explanation:

Opposite sides of rectangle are equal

Therefore,

2y=x+4

2y-4=x

Placing the value of x in the equation

2x+y+8 = 4x-y

2(2y-4)+y+8 = 4(2y-4)-y

4y-8+y+8 = 8y-16-y

4y-8y+y+y = -16+8-8

-2y = -16

y = -16/-2

y = 8

Placing the value of y in equation

2y = x+4

2×8 = x+4

16 = x+4

16-4 = x

12 = x

length=

4x- y

4 ×12-8

48-8

40cm

Breadth=

2y

2×8

16cm

Area:-

L×B

40×16

640cm^2

Perimeter:-

2×(L+B)

2×(40+16)

2×56

112cm

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