What is the area of the shape ?

a) 3 sq cm
b) 4 sq cm
c) 6 sq cm
d) 9 sq cm

Step-by-step explanation:

Look at the picture.

The formula of an area of a rectangle:

A = wl

w - width, l - length

We have two rectangles:

Rectangle 1:

1cm × 2cm

A₁ = 1cm × 2cm = 2cm²

Rectangle 2 (square):

1cm × 1cm

A₂ = 1cm × 1cm = 1cm²

The area of a shape:

A = A₁ + A₂ → A = 2cm² + 1cm² = 3cm²

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

sine

step-by-step explanation: