A rectangle has a width w that is 5 units longer than its length l. Which equation expresses the rectangle's area, A?

Mathematics

2 answers:

Ierofanga [76]3 years ago

7 0

A = L(5+L)
In order to solve the equation, you need to know the value of the length

adell [148]3 years ago

4 0

Answer: The rectangle's area is expressed as $l^2+5l$

Step-by-step explanation:

Since we have given that

Let the length of rectangle be 'l'.

Let the width of rectangle be 'l+5'.

We need to find the area of rectangle :

As we know the formula for "Area of rectangle ":

$Area=length\times breadth\\\\Area=l(l+5)\\\\Area=l^2+5l$

Hence, the rectangle's area is expressed as $l^2+5l$

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The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases.

kolezko [41]

The correct question is
The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases. What is the volume of the composite figure<span>?
</span>
the complete question in the attached figure

we know that
[volume of a cone]=[area of the base]*h/3
[area of the base]=22*10/2-------> 110 units²
h=19.5 units
[volume of a cone]=[110]*19.5/3------> 715 units³

[volume of a triangular prism]=[area of the base]*h
[area of the base]=110 units²
h=25 units
[volume of a a triangular prism]=[110]*25------------> 2750 units³

[volume of a the composite figure]=[volume of a cone]+[volume of a <span>a triangular prism]

</span>[volume of a the composite figure]=[715]+[2750]-------> 3465 units³

the answer is
The volume of a the composite figure is 3465 units³