The area of the triangle is 56 m2. Find the length of the base.

Question 1 options:


56=1/2(x)(x+6)


56=1/2(x2+6)


56=x(x+6)


56=x2+6

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Question 2 (1 point) Question 2 Unsaved

The height of a triangle is 5 m less than its base. The area of the

triangle is 42 m2. Find the length of the base.

Question 2 options:


12 m



11 m



8 m



7 m


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Question 3 (1 point) Question 3 Unsaved

Which equation would best help solve the following problem?


Tyler has a rectangular garden that measures 10 m wide by 13 m long. He wants to increase the area to 208 m2 by increasing the width and length by the same amount. What will be the dimensions of the new garden?

Question 3 options:


208=(10)(13)


208=(10+x)(13+x)


208=(10+13)(x)


208=(10+x2)(13)

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Question 4 (1 point) Question 4 Unsaved

Adina has a rectangular garden that measures 9 m wide by 13 m long. She wants to increase the area to 192 m2 by increasing the width and length by the same amount. What will be the width (shorter dimension) of the new garden?

Question 4 options:


14 m wide



13 m wide



12 m wide



11 m wide


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Question 5 (1 point) Question 5 Unsaved

Holly has a rectangular garden that measures 12 m wide by 14 m long. She wants to increase the area to 255 m2 by increasing the width and length by the same amount. What will be the length (longer dimension) of the new garden?

Question 5 options:


16 m



17 m



18 m



19 m


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Verified Answer :

Answer for Question #1.
    The equation use to find the length of the base of a triangle is \(56= \frac{1}{2}(x)(x+6)\). 

Answer for Question #2.
     The length of the base of a triangle is 12 m.

Answer for Question #3.
     The equation use to find the dimensions of the new garden is 
208 = (10 + x)(13 + x). 

Answer for Question #4.
     The width of the new garden is 12 m.

Answer for Question #5.
     The length of the new garden is 17 m.