Perimeter of the rhombus is 100 m and its diagonal is 40m. Find the area of rhombus.
Answers
Answered by
12
perimeter=100 m
we know that the sides of the diagonal are equal
therefore
each side
=100/4
=25 m
the other diagonal
=√25²-20²*2
=√625-400*2
=√225*2
=15*2
therefore area =1/2*30*40
=15*40
=600 m²(answer)
Answered by
6
HELLO
HERE IS YOUR ANSWERRRR....
RHOMBUS HAS EQUAL SIDES . OK
SO , EACH SIDE OF RHOMBUS IS 100/4 = 25M
.....
~DIAGONAL= 40m~
THAT WAS GIVEN
NOW DRAW OTHER DIAGONAL , EACH DIAGONAL IN A RHOMBUS BISECTS THE OTHR DIAGONAL .
SO , HALF OF FIRST DIAGONAL = 20M
*BY PYTHAGORAS THEORAM*,
(HALF OF OTHER DIAGONAL )^2 = SQAURE OF ONE SIDE - SQUARE OF HALF OF OTHER DIAGONAL
HALF OF OTHER DIAGONAL = √25^2-20^2
= 15M
OTHER DIAGONAL = 2 × HALF OF DIAGONAL =2×15m = 30m
AREA OF A RHOMBUS = 1/2× DIAGONAL × DIAGONAL = 1/2×30×40= 600M^2
I hope this answer helps you . Thank you and have a nice day
HERE IS YOUR ANSWERRRR....
RHOMBUS HAS EQUAL SIDES . OK
SO , EACH SIDE OF RHOMBUS IS 100/4 = 25M
.....
~DIAGONAL= 40m~
THAT WAS GIVEN
NOW DRAW OTHER DIAGONAL , EACH DIAGONAL IN A RHOMBUS BISECTS THE OTHR DIAGONAL .
SO , HALF OF FIRST DIAGONAL = 20M
*BY PYTHAGORAS THEORAM*,
(HALF OF OTHER DIAGONAL )^2 = SQAURE OF ONE SIDE - SQUARE OF HALF OF OTHER DIAGONAL
HALF OF OTHER DIAGONAL = √25^2-20^2
= 15M
OTHER DIAGONAL = 2 × HALF OF DIAGONAL =2×15m = 30m
AREA OF A RHOMBUS = 1/2× DIAGONAL × DIAGONAL = 1/2×30×40= 600M^2
I hope this answer helps you . Thank you and have a nice day
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