# geometry

the sides of a quadrilateral abcd are 6cm,8cm,11cm and 12cm respectively,and the angle between the first two sides is a right angle.find its area.

1. 👍 0
2. 👎 0
3. 👁 239
1. draw the diagonal to show the right-angled triangle,
the hypotenuse of that using Pythagoras is 10
so the area of the right_angled triangle is
(1/2)(6)(8) = 24

for the other triangle with sides, 10, 11, and 12
use Heron's formula
Area = √(s(s-a)(s-b)(s-c))
where s = (1/2)(perimeter) = 16.5
s-a = 16.5-10 = 6.5
s-b = 16.5 - 11 = 5.5
s-c = 16.5 - 12 = 4.5
Area = √(16.5*6.5*5.5*4.5) = 51.92

total area = 24+51.92 = 75.52

check my arithmetic

1. 👍 0
2. 👎 0
2. ABCD is a square and arc BEC is a semicircle. if AB=10.0 cm,find the area of the area of the figure.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Mathematics

PQRS is a quadrilateral, PQ=7cm, QR=8cm and PR=7.5cm. (a) Calculate angle PSR (b) Hence if SR=SP, calculate angle SPR

asked by Faith on July 31, 2020
2. ### Geometry

ABCD is a quadrilateral inscribed in a circle, as shown below: Circle O is shown with a quadrilateral ABCD inscribed inside it. Angle A is labeled x plus 16. Angle B is labeled x degrees. Angle C is labeled 6x minus 4. Angle D is

3. ### Geometry

Quadrilateral ABCD is a parallelogram. If adjacent angles are congruent, which statement must be true? A. Quadrilateral ABCD is a square. B. Quadrilateral ABCD is a rhombus. C. Quadrilateral ABCD is a rectangle. D. Quadrilateral

asked by Lauren on July 5, 2017
4. ### Math

A quadrilateral contains two equal sides measuring 12 cm each with an included right angle. If the measure of the third side is 8 cm and the angle opposite the right angle is 120 degrees, find the fourth side and the area of the

asked by Karen on February 2, 2015
1. ### geometry

What is the most precise name for quadrilateral ABCD with vertices A(–3, 2), B(–1, 4), C(4, 4), and D(2, 2)? 1. parallelogram 2. rhombus 3. quadrilateral 4. rectangle

asked by Bob on January 11, 2013
2. ### math

a semi circle of diameter 6cm is cut from a rectangle with sides 6cm and 8cm.calculate the perimeter of the shaded shape correct to 1 decimal place

asked by ian on August 29, 2016
3. ### math

(a) Construct a quadrilateral ABCD in which AB = 10cm , angle ABC = 120° , angle BAD = 60°, BC =7cm and AD = 11cm. (b) Measure and write the length of CD. (c) Within the quadrilateral ABCD draw the locus of points which are (i)

asked by Winfridah on March 14, 2020
4. ### maths

A triangle has sides 11cm long. The shorter diagonal of rhombus is 8cm long. Find the size of one of the smallest angle

asked by bashiru on May 21, 2017
1. ### Maths

ABCD is a quadrilateral in which angle ABC = 73°, angle C = 97°, angle D =110° if AE is parallel to DC & BE is parallel to AD & AE intersects BC at F find the measure of angle EBF

asked by Vaisshnavi on September 13, 2016
2. ### Math

20. Write a sequence of transformations that maps quadrilateral ABCD onto quadrilateral A"B"C"D in the picture below. ( i know it doesn't show the pic of the graph but i need so much help)

asked by Need Help Anyone ! on January 31, 2017
3. ### geometry

Given: QRST is a parallelogram. Prove: QRST is a square. Complete the proof below by choosing the reason for line number 2 and line number 6. Reason Statement 1. QRST is a parallelogram. Given 2. QRST is a rectangle 3. is a right

asked by karrie on January 5, 2012
4. ### math

if three sides of a triangle are 6cm ,8cm and 10cm then find the altitude of the triangle using the largest side as base.... really need help with this question

asked by mahira on June 7, 2019