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4 years ago

The perimeter of a rectangle is 400 meters. The length is 15 meters less than the width. Find the length and width

Mathematics

1 answer:

lara [203]4 years ago

3 0

Ok... Perimeter is = 2l + 2w

w being width and l being length.

We know that perimeter is equal to 400 so

400 = 2l + 2w

The length is 15 meters less than the width, so in notations, l = w - 15

We can substitute than in the equation to get 2(w-15) + 2w = 400

Expanding will give 2w - 30 + 2w = 400

Solving w gives w= 430/4 = 107.5 meters

Substituting in original equation for w to find l, 400 = 2l + 2(107.5)

400 = 2l + 215

2l = 185

l = 92.5 cm

Or you can just use the question to know that the length is 15 times less than the width, so 107.5 - 15 = 92.5

Length = 92.5 cm

Width = 107.5 cm

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3 years ago

Length: 32 in

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Answer:

The lateral Area of a cube $= 17.64in^{2}$

Step-by-step explanation:

In Mathematics Geometry, the lateral surface of a solid object like cube would be the face of the sold on its side, excluding base. Meaning, any surface, apart from base, would be included to determine the lateral surface of the solid.

A cube has six sides - also called faces.

A cube has a base i.e. the bottom side of the cube, and an ant-bottom base i.e. the top side of the cube.

So, lateral area of a cube would exclude both bottom side base and anti-bottom side base. In other words, it is the area of all the sides of the object, excluding the area of its base and top.

Hence, lateral area of a cube is the square of all the remaining four sides of the object, excluding the area of its base and top.

Hence, the lateral area of a cube can be calculated by the formula:

Lateral Area of a cube $= 4s^{2}$ , where s is the length of one edge.

So,

As the given length of edge = s = 2.1

So,

lateral Area of a cube $= 4s^{2}$

$= 4(2.1)^{2}$

$= 17.64in^{2}$

Keywords: cube, lateral area

Learn more lateral area from brainly.com/question/11630311

#learnwithBrainly

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