Question

# Find the area of the given figure.

Hint:

### The figure consists of a trapezium and a square

So, Area of polygon = area of square + area of trapezium

## The correct answer is: 40.5 cm2

### Ans :- 40.5cm^{2}.

Explanation :-

Step 1:- Find the area of square

Given side of square = 3 cm .

Area of square =

Step 2:- Find the area of trapezium

We get the parallel sides of trapezium as 3 cm and 6 cm from the given diagram .

Height (or) distance between parallel lines = 10 - 3 = 7 cm

Step 3:- Find the Area of Figure

Area of polygon = area of square + area of trapezium

Area of polygon = 9 + 31.5 = 40.5 cm^{2}.

Therefore, the area of the given figure is 40.5cm^{2}.

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### Find the area of the figure.

.

### Find the area of the figure.

.

The system of equations above is graphed in the xy -plane. At which of the following points do the graphs of the equations intersect?

**Note:**

We can solve the equations by other methods too, but the method of substitution is most suitable here. Also, instead of solving

by middle term factorisation, we could also use the quadratic formula, which is given by

Where the standard form of equation is

The system of equations above is graphed in the xy -plane. At which of the following points do the graphs of the equations intersect?

**Note:**

We can solve the equations by other methods too, but the method of substitution is most suitable here. Also, instead of solving

by middle term factorisation, we could also use the quadratic formula, which is given by

Where the standard form of equation is