104k views
2 votes
FINDING LENGTHS OF RECTANGLES GIVEN ONE DIMENSION AND AREA OR PERIMETER HELP

FINDING LENGTHS OF RECTANGLES GIVEN ONE DIMENSION AND AREA OR PERIMETER HELP-example-1
User Yariv
by
3.5k points

2 Answers

4 votes

∑ Hey, shanellmccullough ⊃

Answer:

(a) Length of the parking lot : 84 m

(b) Width of the pool: 82 m

Explanation:

(a) The perimeter of a rectangular parking lot is 290 m. If the width of the parking lot is 61 m, what is its length?

(b) The area of a rectangular pool is 7790 m². If the length of the pool is 7790 m². If the length of the pool is 95 m, what is its width?

Solve:

(a) The perimeter of a rectangular parking lot is 290 m. If the width of the parking lot is 61 m, what is its length?

Formula for perimeter: P = (L + W) × 2

Which;

P = Perimeter

L = Length

W = Width

Which also could be written as:

L + L + W + W = P

Hence, since it given that;

290 = P and W = 61

Then

We know that ;

61w + 61 w + L + L = 290

So we can add 61 + 61 or 61 × 2

which is 122.

Now we know that;

122 + 2L = 290

Solving for 2L:

122 + 2L = 290

122-122 + 2L = 290-122

2L = 168

L = 84

Hence, the length is 84.

Check Answer:

61 × 2 + 84 × 2 = 290

-------------------------------------------------------------------------------------------------------------

(b) The area of a rectangular pool is 7790 m². If the length of the pool is 7790 m². If the length of the pool is 95 m, what is its width?

Formula for area: A = Lw

Which;

A = Area

L = Length

W = Width

So, since we know the length we can just do 7790/95 to find Width

7790/95 = 82

Hence, the width of the pool is 82 m.

Check Answer:

A = Lw

A = 82 × 95

A = 7790m²

-------------------------------------------------------------------------------------------------------------

xcookiex12

8/18/2022

User Srikar
by
3.6k points
1 vote

Answer:

A is l=, 84

B is w=82

Explanation:

The formula for perimeter of a rectangle is 2l +2w

By substitution l will be 84

The formula for area is l*w

By substitution solve for width(w)

User Bmende
by
3.3k points