If the area of an equilateral triangle is 16 $square root of 3$ cm² find the length of the side of the triangle.

A Cylinder tank has a diameter 75 cm and height 1.8 m, Find the capacity in litres to three significant figures.

Identify the line having y-intercept = $1 half$

Find the perimeter and height of an equilateral triangle whose area is equal to 60 $square root of 3$ cm²

A ground in a shape of a parallelogram needs to be fenced by a wire. The one side of the parallelogram is 8 inches and the area of ground is 120 sq. inches respectively.
Find the minimum length of wire needed for the work.

Identify the line having slope 2.

Find equation of a line parallel to line with an equation y = 5x + 1 and passing through (1, 10).

In the figure given below, find the area of:
(i) the shaded portion and (ii) the unshaded portion.

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

The figure above is the floor plan drawn by an architect for a small concert hall. The stage has depth 8 meters (m) and two walls each of
length 10 m. If the seating portion of the hall has an area of 180 square meters, what is the value of x ?

Note:
There are different concepts used to solve this problem. Another concept used which is not mentioned in the hint is that the perpendicular drawn from the vertex of an isosceles triangle to the
base cuts the base in half. This property is also applicable in equilateral triangles as they are a special case of isosceles triangle.

The figure above is the floor plan drawn by an architect for a small concert hall. The stage has depth 8 meters (m) and two walls each of
length 10 m. If the seating portion of the hall has an area of 180 square meters, what is the value of x ?

The area of a trapezium is 34cm² and the length of one of the parallel sides is 10cm and its height is 4cm. Find the length of the other parallel side.

In the figure, ABCD is a rectangle and PQRS is a square. Find the area of the shaded portion.

A cylinder is surmounted by cone at one end, a hemisphere at the other end. The common radius is 3.5 cm, the height of cylinder is 6.5 cm, and the total height of structure is 12.8 cm. Find the volume of the structure.

The scatterplot above shows the revenue, in millions of dollars, that a company carned over several years and a line of best fit for the data. In Year 4 , the difference between the actual revenue and the predicted revenue is n million dollars, where is a posative integer. What is the value of n ? Round your answer to the nearest whole number. (Disregard the 5 sign when gridding your answer.)

Note:
As we are not certain if the point of the actual revenue is exactly at the midpoint of 50 and 60, so instead of taking the midpoint 55, we can also take it to be 54 or 56.
Then the value of n can be 4 or 6 too.

The scatterplot above shows the revenue, in millions of dollars, that a company carned over several years and a line of best fit for the data. In Year 4 , the difference between the actual revenue and the predicted revenue is n million dollars, where is a posative integer. What is the value of n ? Round your answer to the nearest whole number. (Disregard the 5 sign when gridding your answer.)

Sheela wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500m² and the perpendicular distance between the two parallel sides is 100m , find the length of the side along the river.