Check what you have learned.

Do you recognise this type of quadranglequadranglequadrangle?

• The quadranglequadranglequadrangle with at least one pair of parallel sides.

• The diagonals of this quadrangle intersect at the right angleright angleright angle.

• One of the diagonals of this quadrangle divides the other into half.

• This quadranglequadranglequadrangle has got two pairs of equal adjacent sides.

• This quadrangle has got two pairs of parallel sides.

• The quadranglequadranglequadrangle has got all equal sides.

• One of the diagonaldiagonal diagonal is the axis of symmetryaxis of symmetryaxis of symmetry of this quadranglequadranglequadrangle.

• The parallel sides are of equal length.

• The diagonals of the quadranglequadranglequadrangle intersect at the point which divides them into halves.

• The opposite sides of the quadrangle are of equal length.

• The quadranglequadranglequadrangle has at least one arm perpendicular to the base.

Open the applet. You are going to observe how the perimeterperimeterperimeter of the quadranglequadranglequadrangle changes depending on the lengths of its sides.

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Animacja interaktywna umożliwia zmianę długości boków w trapezie. Można zaobserwować jak zmienia się obwód trapezu, w zależności od długości jego boków. Galeria z opisami alternatywnymi poniżej.

Animacja interaktywna umożliwia zmianę długości boków w trapezie. Można zaobserwować jak zmienia się obwód trapezu, w zależności od długości jego boków. Galeria z opisami alternatywnymi poniżej.

Zasób interaktywny dostępny pod adresem https://zpe.gov.pl/a/D5meBuu7L

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Rysunek trapezu MEWA, długość podstawy ME wynosi 5, długość podstawy AW wynosi dziewięć dziesiątych, długość ramienia AM wynosi cztery i cztery dziesiąte, długość ramienia WE wynosi trzy i siedem dziesiątych.

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Rysunek trapezu MEWA, długość podstawy ME wynosi 5, długość podstawy AW wynosi sześć i osiem dziesiątych, długość ramienia AM wynosi trzy i siedem dziesiątych, długość ramienia WE wynosi trzy i cztery dziesiąte.

Calculate the perimeterperimeterperimeter of the trapeziumtrapeziumtrapezium.

In your notebook draw the isosceles trapeziumtrapeziumtrapezium whose one base is 8 cm. The other base is 2 cm shorter and the arms are twice as short as the bottom base. Calculate its perimeterperimeterperimeter.

Answer the following questions:

• What types of quadrangles do you know?

• How can we calculate the perimeterperimeterperimeter of the quadranglequadranglequadrangle?

Self‑study task:

Find on the Internet the information about the dimensions of the Santiago Bernabeu stadium which is situated in Spain. Next, calculate the perimeterperimeterperimeter of the quadrangle‑shaped pitch.

The plot is in the shape of the right trapezium. The parallel sides have the length of 17 m and 23 m, respectively, the third side is 8 m, and the fourth is 2 metres longer than the third one. The wicket and the gate are 4 metres wide. Calculate how many metres of the fencing net the owner should buy. How much will he pay for the fencing net if 1 metre costs 41 PLN?

In your notebook draw the isosceles trapezium with the bottom base of 6 cm. The other base is 2 cm shorter. The arms are twice as short as the bottom base. Calculate its perimeter.

In English describe the method for calculating the perimeter of the quadrangles.