Question

1. The shape of the top surface of a table is a trapezium. Find its area
if its parallel sides are 1 m and 1.2 m and perpendicular distance
between them is 0.8 m.
0.8 m
1.2 m
H​​​

Answer 1

Step-by-step explanation:

Answer:

Given :-

First parallel side = 1 m

Second parallel side = 1.2 m

Perpendicular distance from them = 0.8 m

To Find :-

The area of the trapezium.

Analysis :-

Substitute the given values in the formula of area of trapezium.

Then you can easily find the area by solving it.

Solution :-

We know that,

h = Height

a = Area

By the formula,

$\underline{\boxed{\sf Area \ of \ trapezium= \dfrac{1}{2} \times (a+b) \times h}}$

Given that,

a = 1 m

b = 1.2 m

h = 0.8 m

Substituting their values,

= 1/2 × (1 + 1.2) × 0.8

= 1/2 × 2.2 × 0.8

= 0.88

Therefore, the area of top surface of the table is 0.88 m².

Answer 2

Answer:

First parallel side = 1 m

Second parallel side = 1.2 m

Perpendicular distance from them = 0.8 m

To Find :-

The area of the trapezium.

Analysis :-

Substitute the given values in the formula of area of trapezium.

Then you can easily find the area by solving it.

Solution :-

We know that,

h = Height

a = Area

By the formula,

Area of trapezium=12×(a+b)×h‾\underline{\boxed{\sf Area \ of \ trapezium= \dfrac{1}{2} \times (a+b) \times h}}

Area of trapezium=

2

1

×(a+b)×h

Given that,

a = 1 m

b = 1.2 m

h = 0.8 m

Substituting their values,

= 1/2 × (1 + 1.2) × 0.8

= 1/2 × 2.2 × 0.8

= 0.88

Therefore, the area of top surface of the table is 0.88 m².