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3 years ago

11

Priyanka is trying to find the area of this rectangle she already measured one side 10 cm which other lengths could she measure

to use in her area calculation explain your reasoning

1 answer:

Flauer [41]3 years ago

4 0

She could measure the next length to the left or right and she will have all 4 sides because a rectangle has 2 sets of equal sides.

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The length of a rectangle is 3 m less than twice the width if the area of the rectangle is 66 5 m² find the dimensions

goblinko [34]

Let the width be x.

Then,Length = ( 2x - 3 ) m

<u>According to the question, </u>

Area of rectangle = 665 m² [ Given ]

Formula: Area of rectangle = Length × Width

$\sf \implies \: length \: \times breadth = 665 \: m {}^{2}$

$\sf\implies \: (2x - 3) \times x = 665$

$\sf \implies \: 2 {x}^{2} - 3x = 665$

$\sf \implies \: {2x}^{2} - 3x - 665 = 0$

<u>By split middle term </u>

$\sf \implies \: 2 {x}^{2} - 38x + 35x - 665 = 0$

$\sf\implies \: 2x(x - 19) + 35(x - 19) = 0$

$\sf \implies \: (2x + 35) = 0 \: or \: (x - 19) = 0$

$\sf \implies \: x = \dfrac{ - 35}{2} \: or \: \: x = 19 \:$

Note: Ignore negative number.

Now,

Width of a rectangle = 19 m

Length of a rectangle = 2x - 3 = 2 × 19 - 3 = 38 - 3 = 35 m

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