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Maslowich
3 years ago
8

What measurement do you use for surface area

Mathematics
1 answer:
vitfil [10]3 years ago
7 0

Answer:

Step-by-step explanation:

Surface Area is the combined area of all two-dimensional surfaces of a shape. Just like ordinary area, the units are the squares of the units of length (that is, if a shape's sides are measured in meters, then the shape's area is measured in square meters

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Monica wants to measure the dimensions of her rectangular lawn. If the longer side of the lawn is (x + 3) feet and the diagonal
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Answer:

\text{Hence, The shortest side of her Lawn is} \sqrt{2x+7}\text{ feet}

Step-by-step explanation:

Given: Monica wants to measure the dimensions of her rectangular lawn.

If the longer side of the lawn is BC=(x + 3) feet.

If the diagonal length is AC=(x + 4) feet.

Let the shortest side of lawn is AB=y feet

The angle of rectangle is right angle.

Using diagonal, shortest and longer side to make a right angle triangle whose hypotenuse is length of diagonal.

Using Pythagoreous theorem,

AB^2+BC^2=AC^2

y^2+(x+3)^2=(x+4)^2

y^2=(x+4)^2-(x+3)^2

y^2=x^2+16+8x-x^2-9-6x

y^2=2x+7

y=\pm \sqrt{2x+7}

We will ignore the negative value because side of rectangle can't be negative.

y=\sqrt{2x+7}\text{ feet}

\text{Hence, The shortest side of her Lawn is} \sqrt{2x+7}\text{ feet}

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