area plus perimeter

Geometry Level 3

Find the numerical sum of the area and perimeter of the right triangle shown.


The answer is 7548.

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1 solution

Mohammad Khaza
Feb 20, 2018

as it is a right triangle ,so according to Pythagoras,the altitude will be \text{as it is a right triangle ,so according to Pythagoras,the altitude will be}

h y p o t e n u s e 2 b a s e 2 = a l t i t u d e \sqrt{{hypotenuse^{2}}-{base^{2}}}=altitude

or, 16 9 2 12 0 2 = 119 \sqrt{169^2-120^2}=119

so,the perimeter will be=119+120+169=408 unit \text{so,the perimeter will be=119+120+169=408 unit}

and now,

the area will be \text{the area will be} = 1 2 × 119 × 120 = 7140 s q . u n i t =\frac{1}{2} \times 119 \times 120=7140 sq. unit

so, the numerical summation of the perimeter and the area is=7140+408=7548 \text{so, the numerical summation of the perimeter and the area is=7140+408=7548}

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