Question

If yr good at Maths help^.^Pretty plssss

Answer 1

Answer:

area of trap = 1/2(5+13)×10

=90mmsq

Answer 2

Question :

Find the area of the parallelogram.?

Answer :

1st Method:

To solve this question we have two methods.

What is a Trapezium?

An quadrilateral in which one pair of opposite sides are parallel.

such a quadrilateral is known as a Trapezium .

Formulas related to Trapezium

1. Perimeter of the Trapezium = sum of all sides.
2. Area of the Trapezium =

$\frac{1}{2} \times h(a + b)$

Here ,

h represents the distance between the parallel sides.

a and b represents the perpendicular lines

According to the question,

Distance between the parallel sides = 10mm

Perpendicular sides are 5mm & 13mm

However, Substitute their respective values.

That is ,

$area = \frac{1}{2} \times 10(5 + 13) \\ area = \frac{1}{2} \times 10(18) \\ area = 5(18) \\ area = 90 {mm}^{2}$

2nd method :

This method is very simple.

We have to divide the figure into 2 parts.

1. Rectangle
2. Triangle

( see the attachment)

Area of the Trapezium = area of the Rectangle + area of the triangle

so,

Area of the rectangle = Length × breadth

= 10mm × 5mm

= 50mm^2

Similarly,

Area of the triangle =

$\frac{1}{2} \times base \times perpendicular \: height \\ area \: = \frac{1}{2} \times 10 \times 8 \\ area = \frac{80}{2} \\ area = 40 {mm}^{2}$

Hence,

Area of the Trapezium = area of the rectangle + area of the triangle

[ ar(trap) = area of the Trapezium]

ar(trap) = 50mm^2 + 40mm^2

= 90mm^2

Hence ,

Area of the Trapezium = 90mm^2