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If a rectangle has a perimeter of 14 meters and a diagnol of 5 meters what is the area of the rectangle?
Wiki User
∙ 14y ago
A rectangle must have four right angles and parallel sides. Therefore, you can divide the rectangle into two equal right angle triangles along the diagonal.
As the perimeter is the sum of all of the sides of the triangles that aren't a hypotenuse, each of one of the triangles' legs length would add up to to half the perimeter of the rectangle i.e. 7. The length of the hypotenuse is 5.
With basic trigonometry you should recognise that this is a pythagorean triple, or in otherwords the hypotenuse is 5 and the lengths of the 'legs' are 3 and 4
Now that you now know the lengths of the legs of the right angle triangles, and the legs correspond with the sides of the rectangles, you can now calculate the area:
A = 4*3 = 12 m2
Wiki User
∙ 14y ago
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