Question

22. The perimeter of a triangle is 72 cm. U one side is 3 cm greater
side is 3 cm smaller than the base find the base of the triangle
23. The length of a rectangle is 6 metres more than it breadth the perime the
60 metres. Find the length and the breadth of the rectangle
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Answer 1

Step-by-step explanation:

The easiest way is to use proportions. The perimeter of the triangle with sides 3 , 4 and 5 is 3+4+5=12 . So the have a perimeter of 72 the side length should be multiplied by 6 . So the required triangle has sides 18 , 24 and 30 . The area must be 12×18×24 .

Alternatively you can write the ratio 3:4:5 , as 6:8:10 , or as 9:12:15 etc. One of these is 12:18:24 . Same argument as previously, the sides are 6 times greater.

Another way is to first find the area of the 3:4:5 triangle: 12×3×4 and then multiply by 62 because both sides enclosing the right angle are 6 times

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