I need help with this

The length of a rectangle is 7 more than the width. The area is 744 sqaure yards, find the length and width of the rectangle

AVprozaik [17]

Answer:

Length of rectangle is 31 yards and Width is 24 yards.

Given:

The length of a rectangle is 7 more than the width.
The area is 744 sqaure yards

Solution:

Let's assume Width of rectangle be x and Length of rectangle be x + 7 respectively.

Using formula

$\\ \: \: \: \: \pink{ \dashrightarrow \: \: \: \: \sf { \underbrace{Area_{(Rectangle)} = Length × Width }}} \\ \\$

On Substituting the required values, we get;

$\\ \: \: \: \: \dashrightarrow \: \: \: \: \sf (x)(x + 7) = 744 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 7x = 744 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 7x - 744 = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 31x - 24x - 744 = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf x(x + 31) - 24 (x + 31) = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf (x + 31)(x - 24) = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf x = 24 \: or \: - 31 \\ \\$

As we know that width of the rectangle can't be negative. So x = 24

Hence,

Width of rectangle = x = 24 yards
Length of the rectangle = x + 7 = 31 yards

$\therefore$ Length of rectangle is 31 yards and Width is 24 yards.

8 0

1 year ago

I need to know the answer to the question with the circle

KATRIN_1 [288]

___________________________

◆ AREA RELATED TO CIRCLES ◆ ___________________________

As shown in the figure ,

Radius of circle = 5 cm

Side of square = 2 × (Radius of inscribed circle)

Side of square = 2 × 5 cm

Side of square = 10 cm = a

___________________________

Now ,
Area of shaded region = (Area of square) - ( Area of inscribed circle )

Area of shaded region =
${a}^{2} - \pi {r}^{2}$

Area of shaded region =
${10}^{2} - \frac{22}{7} \times {5}^{2}$

Area of shaded region = 100 - 78.571

$= 21.428 \: ans.$

7 0

3 years ago

To make one recipe, Lina needs 1/4 cups of sugar. For another recipe, she needs 1/2 cups of sugar. How much sugar does she need

KiRa [710]

Answer:

She needs 3/4 or 0.75 cups of sugar.

Step-by-step explanation:

1/2 = 2/4

2/4 + 1/4 = 3/4

Then to get it as a fraction, you divide 3 by 4 and you get 0.75. Hope this helps!!

3 0

2 years ago

How do you find out if the scale factor of a triangle is similar?

Norma-Jean [14]

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. In Figure 1, Δ ABC∼ Δ DEF. Figure 1Similar triangles whose scale factor is 2: 1. The ratios of corresponding sides are 6/3, 8/4, 10/5.

6 0

3 years ago

Please help ASAP math homework

podryga [215]

Step-by-step explanation:

8^0=1 so the 4th option is incorrect

7 0

2 years ago

I need help with this​

I need help with this