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You need to work with differents right triangle to be able to find the missing measures for your rectangle.
So, in triangle ABC , you will be able to find BD knowing AD and DC.
Then, in triangle ADB, knowing AD and BD, with Pythagora theorem, you will find AB and then , with one of the metric relations in the right triangle, FB.
Finally, in triangle BDC, knowing DC and BD, with Pythagora theorem, you will find BC and then , with one of the metric relations in the right triangle, DE.
Finding DE and FD will hep you out to calculate teh perimeter of ADEB since in a rectangle, you have two pairs of sides with the same measures.
Explanation from Alloprof
This Explanation was submitted by a member of the Alloprof team.
Hi AlphaPoutine427,
To solve this, you will have to use the metric relations in a right Triangle: https://www.alloprof.qc.ca/en/students/vl/mathematics/metric-relations-in-a-right-triangle-m1286
You need to work with differents right triangle to be able to find the missing measures for your rectangle.
So, in triangle ABC , you will be able to find BD knowing AD and DC.
Then, in triangle ADB, knowing AD and BD, with Pythagora theorem, you will find AB and then , with one of the metric relations in the right triangle, FB.
Finally, in triangle BDC, knowing DC and BD, with Pythagora theorem, you will find BC and then , with one of the metric relations in the right triangle, DE.
Finding DE and FD will hep you out to calculate teh perimeter of ADEB since in a rectangle, you have two pairs of sides with the same measures.
Hope this is helpful for you.