Answer and Step-by-step explanation:
We first need to solve for x, and by doing that, we would need to multiply the length and width of the shaded box, have it be subtracted by the area of the inside box, and then equal it to the area.
(6x * x) -[(x + 4)(x - 1)] = 40.
<u>Subtract 40 from both sides of the equation.</u>
<u>Now, factor the equation.</u>
<u>Solve for x.</u>
x =
x = 3
If we were to plug in for the width of the flower bed rectangle, we would get a negative side value, which we know isn't possible.
So, x is equal to 3.
<u>Now, we plug 3 in for the x values.</u>
<em><u>3</u></em> + 4 = 7
<em><u>3</u></em> - 1 = 2
<u>Finally, we multiply the sides to get the area.</u>
7 * 2 = 14.
<u>The area of the flowerbed is 14 </u><u>.</u>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>