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:

Step-by-step explanation:

Answer:

Given:-

Perimeter of a rectangular swimming pool = 154 m

( Let the breadth of the rectangle be x )

Length of the rectangle = 2x + 2

To Find:-

The length and the breadth of the pool.

Solution:-

As per the given information,

Perimeter of a rectangular swimming pool = 154 m

Breadth of the rectangle = x

Length of the rectangle = 2x + 2

Formula used: Perimeter = 2 ( Length + Breadth )

Applying the formula,

$\begin{gathered}\implies 2(2x+2+x)=154 \: m\\\implies 2(3x+2) = 154\\\implies 3x + 2 = \frac{154}{2} \\\implies 3x=77-2\end{gathered}$

Finding x,

$\begin{gathered}x=\frac{75}{3} \\\implies x=25 \: m\end{gathered}$

Finding breadth,

∴ Breadth = x = 25 m

$:\implies \boxed{25 \: m}$

Finding length,

Length = 2x + 2

$\begin{gathered}\implies (2 \times 25) + 2\\= 50 + 2\\:\implies \boxed{52 \: m}\end{gathered}$

Hence, length of the pool is 52 m and breadth is 25 m.

Answer 2

Area of trapezium = 1/2 × Sum of parallel sides × Distance between them .

A = 1/2 × (1 + 1.2) × 0.8

A = 0.5 × 2.2 × 0.8

A = 0.88 m²