Video: KS2-M16S • Paper 3 • Question 19

The area of a rugby pitch is 6108 square metres. A football pitch is 112 metres long and 82 metres wide. How much larger is the area of the football pitch than the area of the rugby pitch in square metres?

03:13

Video Transcript

The area of a rugby pitch is 6108 square metres. A football pitch is 112 metres long and 82 metres wide. How much larger is the area of the football pitch than the area of the rugby pitch in square metres?

We need to find the difference between the area of the football pitch and the rugby pitch. The area of the rugby pitch is given. The length and the width of the football pitch is given, but not the area. So our first step is to calculate the area of the football pitch.

To do this, we need to calculate 112 multiplied by 82. First, we’re going to calculate 112 multiplied by two. Two times two is four. One times two is two. And one times two again is two. 112 multiplied by two is 224. Now we need to calculate 112 multiplied by 80, which is the same as multiplying by 10 and then multiplying by eight. Two times eight is 16. One times eight is eight, plus the one we exchanged gives us nine. And one times eight is eight. 112 multiplied by 80 is 8960.

Now we just need to add these two totals together to tell us what 112 multiplied by 82 is. Four plus zero is four. Two plus six is eight. Two plus nine is 11. And eight plus the one we exchanged is nine. So the area of the football pitch is 9184 square metres.

Now we can calculate the difference between the area of the football pitch and the area of the rugby pitch. We need to subtract 6108 from 9184. In the ones column, the four is less than eight. So we can take a 10 from the tens column and add it to the four to make 14. 14 take away eight is six. Seven take away nothing is seven. One take away one is zero. And nine take away six is three. The difference between the area of the football pitch and the rugby pitch is 3076 square metres.

First, we had to calculate the area of the football pitch. And then we had to find the difference between the area of the football pitch and the rugby pitch, which was 3076 square metres.

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