If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content
Current time:0:00Total duration:3:28

Creating rectangles with a given area 1

Video transcript

each small square on the grid has an area of one square unit so each of these small squares is one square unit this square is one square unit and this square is one square unit and so on and now we're asked to draw a rectangle with an area of 10 square units well this word area here is talking about how much space our shape covers so our shape in this case is a rectangle so we're being asked to draw a rectangle that covers ten square units and we know that each of these is one square unit so we want two rectangle two covers ten of the square units we could try just drawing a rectangle right across this top row until we get ten square units but the problem there is there's only one two three four five six seven square units going across the top so we can't just do one long row of ten square units we can't do one long column either because one two three four five six only six square units so we can't draw a rectangle going down like that either because we need 10 square units so that means we're going to have to break up our ten into equal groups since it can't all fit on one row we're gonna have to break up the unit squares into groups so we can break up a ten into two groups of five or five groups of two either one of those will work so let's do that let's draw ourselves a rectangle we'll start up here here's a rectangle and let's see that's five and we can space make sure that covers the whole square unit there we go so here's our rectangle and this rectangle covers one two three four five there's the first row five and the second row five has unit squares six seven eight 9 and 10 so here's one perfect answer a rectangle that has two rows of five square units and we could have drawn this rectangle anywhere on the grid it doesn't matter we could have drawn it down here with two rows of five or right here with two rows of five any rectangle covering two rows of five has an area of ten unit squares similarly any rectangle covering five rows of two let's look and see if we can try to show that here we go here's a rectangle and this one will cover one two so we've rows of two and there's five rows so one two three four five six seven eight nine ten so again this rectangle covers ten square units so any rectangle that you can draw on the grid that either covers two rows of five square units or five rows of two square units is a rectangle with an area of 10 square units