Perimeter and Area

Given that the area of the shaded region is 54 cm², the value of x is

• 3

• 4.5

• 6

• 9

In the diagram, TSP and TUV are straight lines. PQRS is a parallelogram, TVP and TUS are isosceles triangles.

Calculate the area, in cm², of the shaded region.

• 60

• 72

• 90

• 108

The area of the rectangle PQRS is 71.5 cm².

Calculate the perimeter, in cm, of the rectangle.

• 17.5

• 25

• 35

• 35.75

The diagram shows two rectangles, PQRS and KLMN.

Calculate the perimeter, in cm, of that rectangle KLMN.

• 11

• 16

• 22

• 56

Given that the area of the triangle PQR is 48 cm².

The area, in cm², of the whole diagram is

• 160

• 184

• 208

• 224

The diagram shows three identical squares join together.

If the perimeter of the whole diagram is 112 cm, find its area, in cm².

• 196

• 261

• 588

• 768

In the diagram, PQRS is a rectangle and QRT is an equilateral triangle.

N and M are the midpoints of PS and SR respectively.

The perimeter, in cm, of the shaded region is

• 59

• 64

• 69

• 74

In the diagram, PQR is an equilateral triangle, RSTP is a rectangle and TUVW is a square.

Given the perimeter of the whole diagram is 63 cm, the length, in cm, of RS is

• 14

• 9

• 8

• 7

In the diagram, PQRS is a trapezium and PQUT is a parallelogram.

The area, in cm², of the shaded region is

• 12

• 64

• 104

• 144

In the diagram, RST is a straight line.

Given that QR = TS, find the area, in cm², of the triangle PQS.

• 60

• 65

• 85

• 105