Now You Try

<p>A backyard has a perimeter of 144 m.</p><img src="/qimages/1153" />
<ul>
<li>If the backyard is rectangular, and the length is three times the width, what are the dimensions?</li>
</ul>

<p>One type of truss design commonly used to build bridges is known as the Warren truss pattern. This features a series of equilateral or isosceles triangles.</p><img src="/qimages/1146" /><p>An isosceles triangle and an equilateral triangle have the same perimeter. Find the side lengths of each triangle.</p><img src="/qimages/1147" />

<p>Find a simplified expression for the perimeter of each figure.
Use algebra tiles if you wish.</p><img src="/qimages/1559" />

<p>Find a simplified expression for the perimeter of each figure.
Use algebra tiles if you wish.</p><img src="/qimages/1558" />

<p>Find the height of a triangle with base 10 cm and area 50 <code class='latex inline'>cm^2</code>.</p>

<p>A rectangle has a perimeter of 210 cm.</p><p>Determine two combinations of length and width for this rectangle.</p>

<p>The length of a rectangle is 2 cm less than 7 times the width. The perimeter is 60 cm. Find the width and length.</p>

<p>A garden is in the shape of a right triangle. The base of the triangle is 12 m, and the garden covers an area of 30 <code class='latex inline'>m^2</code>. What length of fence is needed to surround the garden?</p>

<p>A rectangle has length <code class='latex inline'>2x -1</code> and width <code class='latex inline'>8 - 2x</code>. What is unusual about the perimeter?</p>

<p>A trapezoidal backyard ha san area of <code class='latex inline'>100 m^2</code>. The front and back widths are 8 m and 12 m, as shown. What is the length of the yard from front to back?</p><img src="/qimages/1152" />

<p>A square has sides of length <code class='latex inline'>2k -1</code> units. An equilateral triangle has sides of length <code class='latex inline'>k + 2</code> units. The square and the triangle have the same perimeter. What it he value of <code class='latex inline'>k</code>?</p>

<p>Determine the length of each base for the trapezoids below if they have the same area.</p><img src="/qimages/1363" />

<p>The perimeter of a rectangle is 36 cm. The width is 5 cm less than the length. Determine the dimensions of the rectangle.</p>

<p>The length of rectangle is 3 times the width. The perimeter is 96 cm . Find the width and length.</p>

<p>Find a simplified expression for the perimeter of each figure.
Use algebra tiles if you wish.</p><img src="/qimages/1557" />

<p>A rectangle has a perimeter of <code class='latex inline'>210 cm</code>.</p><p>Explain why <code class='latex inline'>2L + 2W = 210</code> models the perimeter of the rectangle.</p>

<p>Find a simplified expression for the perimeter of each figure.
Use algebra tiles if you wish.</p><img src="/qimages/1556" />

<p>Is there a value of <code class='latex inline'>x</code> that makes this triangle equilateral? Explain your decision.</p><img src="/qimages/1151" />

<p>A rectangle has a perimeter of 40 m. Its length is 2 m greater than its width.</p><p>a) Represent this situation with a linear system.</p><p>b) Solve the linear system using substitution.</p><p>c) What do the numbers in the solution represent? Explain.</p>

<p>A backyard has a perimeter of 144 m.</p><img src="/qimages/1153" />
<ul>
<li>If the backyard is square, what are the dimensions?</li>
</ul>

<p>How many possible values of <code class='latex inline'>x</code> make the triangle isosceles?</p><img src="/qimages/1150" />
<ul>
<li><strong>A</strong> 0</li>
<li><strong>B</strong> 1</li>
<li><strong>C</strong> 2</li>
<li><strong>D</strong> 3</li>
<li><strong>E</strong> more than 3</li>
</ul>

<p>The first side of a triangle is 8m shorter than the second side. The third side is 4 times as long as the first side. The perimeter is 26 m. Find the length of each side.</p>

<p>A number, <code class='latex inline'>n</code>, decreased by 6, is equal to 3 times the number plus 1.</p><p>Determine the number.</p>

<p>A backyard has a perimeter of 144 m.</p><img src="/qimages/1153" />
<ul>
<li>If the backyard is a triangle, as shown, write an algebraic expression for the perimeter and find its dimensions.</li>
</ul>

<p>To determine the dimensions of the rectangle with </p>
<ul>
<li>perimeter 44 cm and</li>
<li>width 3 cm less than the length, </li>
</ul>
<p>Florence drew a diagram:</p><img src="/qimages/1356" />

<p>The perimeter of a triangle is 76 cm. Side <code>a" of the triangle is twice as long as side</code>b". side <code>c" is 1 cm longer than the side</code>a". Find the length of each side.</p>