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Reika [66]
3 years ago
12

The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers, and together they form

Mathematics
1 answer:
mel-nik [20]3 years ago
8 0
The correct answer is “A” 40,leg
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3 years ago
A student cost for last semester at her community college was 2300 she spent 414 of that on books what percent of last semester’
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Valerie is remodeling her home. She decides to replace the old carpet in the living room and wants to know how much carpet she n
PIT_PIT [208]

Answer:

It can be decomposed into the following simplest shapes:

Two Rectangles and one Triangle.

The area is 242\ ft^2

Step-by-step explanation:

You can observe in the picture attached that it can be decomposed into the following simplest shapes:

Two Rectangles.

One Triangle.

The area of the a rectangle can be found with:

A=lw

Where "l" is the length and "w" is the width.

You can identify in the picture that:

l_A=14\ ft\\w_A=13\ ft-7\ ft=6\ ft\\\\l_B=20\ ft\\w_B=7\ ft

Substituing values, you get that the areas of the rectangles A and B are:

A_A=(14\ ft)(6\ ft)=84\ ft^2\\\\\\A_B=(20\ ft)(7\ ft)=140\ ft^2

The formula for the area of a triangle is:

A=\frac{bh}{2}

Where "b" is the base and "h" is the height.

In this case:

b=20\ ft-14\ ft=6\ ft\\\\h=6\ ft

Then, its area is:

A_C=\frac{(6\ ft)(6\ ft)}{2}= 18\ ft^2

Then, the total area of carpet that Valerie needs for her project is:

A_t=A_A+A_B+A_C\\\\A_T=84\ ft^2+140\ ft^2+18\ ft^2\\\\AT=242\ ft^2

7 0
3 years ago
Read 2 more answers
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