Emma, Oliver and Elice are playing hide and seek. Oliver is 40 m south of Emma and Elice is 50 m east to Oliver. How far is Emma from Elice, correct up to 2 decimal places?

What is the length of the cable used to stabilise a flagpole that is 20 metres high, if the cable is secured to the ground 5m from the base of the flagpole, correct to two decimal places?

Find the perimeter of a rectangle whose length is 100 m and the diagonal is 125 m.

Find the length of the diagonal of a square with sides of length 5 metres (2dp).

The base of a right-angled triangle is 9 cm. The area of the triangle is \(54~\text{cm}^2\). Find the length of the hypotenuse. 

Find the value of \(x\) correct to 1 decimal place.

Calculate the area of the rectangle.

Find the perimeter of the quadrilateral \(A B C D\) (correct to 1 decimal place)

On the number plane shown, find the exact distance between the points \(A(2,3)\) and \(C(-1,-2)\)