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Firlakuza [10]
3 years ago
12

If the width and length of a rectangle are both increased by 10%, by what percent does the area of the rectangle increase?

Mathematics
1 answer:
S_A_V [24]3 years ago
7 0

Answer:

10%

Step-by-step explanation:

We know Perimeter of rectangle

= 2 (Length + Width)

If width and length are increased by 10%

New length= L + 10/100L = (1.1) L

New width = W + 10/100W = (1.1) W

Perimeter = 2 [(1.1) L + (1.1) W]

Perimeter = 2 (1.1) (L + W)

Perimeter = (2.2) (L + W)

Increase in perimeter = 2.2 (L + W) - 2 (L + W)

The increase in Perimeter = 0.2 (L + W)

Percent increase

= 0.2 (L + W)/2 (L + W) × 100

= 0.2/2 × 100

= 0.1 × 100

= 10%

I hope this helped and if it did, please mark as Brainliest.

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Answer:

when x = -1,  y = -3

when x = -1,  y = -1

when x = -1,  y = 1

when x = -1,  y = 3

Step-by-step explanation:

x = -1;  plug in y = 2(-1) - 1 = -2 - 1 = -3

x = 0;  plug in y = 2(0) - 1 = 0 - 1 = -1

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Calculamos el volumen (V) de un prisma cuadrangular expresado en unidades cúbicas. Respondemos: ¿cómo se calcula?...............
Vadim26 [7]

Answer:

a) El procedimiento queda resumido en lo que sigue:

1) Se halla el área de la base del cuadrilátero.

2) Se multiplica el resultado anterior por la longitud del prisma.

b) La expresión para calcular el volumen del prisma (V), en unidades cúbicas, es:

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Donde:

w - Ancho de la base, en unidades.

h - Altura de la base, en unidades.

l - Longitud del prisma, en unidades.

Step-by-step explanation:

a) Dimensionalmente hablando, la unidad de volumen es igual al cubo de la unidad de longitud. Se explica a continuación los pasos necesarios para el cálculo de prisma cuadrangular:

1) Se halla el área de la base del cuadrilátero.

2) Se multiplica el resultado anterior por la longitud del prisma.

b) En consecuencia, se deriva la expresión para el volumen del prisma:

V = A\cdot l (1)

Donde:

A - Área de la base del prisma, en unidades cuadradas.

l - Longitud del prisma, en unidades.

V = w\cdot h \cdot l (2)

Donde:

w - Ancho de la base, en unidades.

h - Altura de la base, en unidades.

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