A rectangular playground has one side 6 metres long and a perimeter of 26 metres.The area of the playground isWhat is the area of the playground?Question response areaSelect one option 36 m²metres squared 42 m²metres squared 84 m²metres squared 92 m²metres squared156 m²
Question
A rectangular playground has one side 6 metres long and a perimeter of 26 metres.The area of the playground isWhat is the area of the playground?Question response areaSelect one option 36 m²metres squared 42 m²metres squared 84 m²metres squared 92 m²metres squared156 m²
Solution
To find the area of the rectangle, we first need to find the length of the other side. We know that the perimeter of a rectangle is 2*(length + width). Given that the perimeter is 26 metres and one side is 6 metres, we can set up the following equation:
26 = 2*(6 + width)
Solving for width, we get:
26 = 12 + 2width 14 = 2width width = 7 metres
Now that we know both sides of the rectangle, we can find the area by multiplying the length by the width:
Area = length * width Area = 6 metres * 7 metres Area = 42 m²
So, the area of the playground is 42 m².
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