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Mathematics - Algebra of adjacent triangles

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A rancher has 100 meters of fencing to enclose two adjacent rectangular corrals. The rancher wants the enclosed area to be 350 meters. What dimensions should the rancher use to obtain this area.

Note: I was given 4x + 3y=100 as a formula below the picture of the two adjacent rectangles.

(Please see the attachment.)

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Let the lengths of the corrals be x and width y. The fencing is required along 4x and 3y sides,

that is 4x + 3y ...

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