2 years ago

The length of a rectangle is 3 yd longer than its width if the perimeter is 42 yd find the area

Mathematics

1 answer:

pogonyaev2 years ago

4 0

14 yd

$42 \div 3$

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ZanzabumX [31]

Answer:

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Step-by-step explanation:

We are given that the points A(0,0),B(0,4a-5) and C(2a-+1,2a+6) form a triangle.

If angle ABC= $90^{\circ}$

We have to find the area of triangle ABC

If angle ABC= 90 degree

From given below figure

$4a-5=2a+6$

$4a-2a=6+5$

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$a=\frac{11}{2}=5.5$

Substitute the values then we get

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Distance formula

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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BC= $\sqrt{144+0}=\sqrt{144}=12$ units

Area of triangle = $\frac{1}{2}\times b\times h$

Substitute the values

Then we get

Area of triangle ABC= $\frac{1}{2}\times 17\times 12$

Area of triangle ABC=102 square units

Answer: A: 102

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